Subjective Type

Find the least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 ?

Solution

Prime factors $$5, 6, 4$$ and $$3:$$
$$3$$ and $$5$$ are prime numbers
$$ 6 = 2 \times 3 $$
$$ 4 = 2 \times 2 $$

LCM of $$5,6, 4$$ and $$3=60 $$

on dividing $$2497$$ by $$60,$$ the remainder is $$37.$$
Subtracting $$37$$ from $$60,$$ we have $$60 -37 = 23$$

so $$23$$ is the required number.

SIMILAR QUESTIONS

Number Systems

What is the least common multiple of 18 and 24?

Number Systems

Express each of the following numbers as a product of its prime factors: $$7560$$.

Number Systems

Express each of the following numbers as a product of its prime factors: $$140$$

Number Systems

Find the LCM and HCF of the following integers by applying the prime factorization method: $$6$$ and $$20$$.

Number Systems

Find the LCM and HCF of the following integers by applying the prime factorization method: $$87$$ and $$145$$.

Number Systems

Find the LCM and HCF of the following pair of integers and verify that LCM * HCF = product of two numbers: $$902$$ and $$1517$$.

Number Systems

Find LCM and HCF of the following integers by using prime factorization method: $$8,9$$ and $$25$$.

Number Systems

Find LCM and HCF of the following integers by using the prime factorization method. $$12,15$$ and $$21$$

Number Systems

In a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm respeclively. What is the minimum distance each should walk so that each can cover the same distance in complete steps. ?

Number Systems

The $$LCM$$ of two numbers is greater than or equal to the larger of the numbers.

Contact Details