Least Common Multiple of 9957/457, 6169/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9957/457, 6169/836 quickly i.e. 61424733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9957/457, 6169/836 is 61424733.

LCM(9957/457, 6169/836) = 61424733

LCM of 9957/457, 6169/836

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9957/457,6169/836

Given numbers are 9957/457,6169/836

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9957,6169

Least Common Multiple of Numerators i.e. LCM of 9957,6169 is 61424733.

GCF of Denominators means GCF of 457,836 as per the given fractions.

GCF of 457,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9957,6169

LCM of Fractions 9957/457,6169/836 is 61424733

Given numbers has no common factors except 1. So, there LCM is their product i.e 61424733

Least Common Multiple of 9957,6169 with GCF Formula

Least Common Multiple of 9957,6169 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9957,6169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9957,6169) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9957,6169) x common factors =1 x 1 = 1

LCM(9957,6169) = ( 9957 × 6169 ) / 1

LCM(9957,6169) = 61424733 / 1

LCM(9957,6169) = 61424733


Lets's calculate GCF of 457,836

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61424733/1

Therefore the LCM of Fractions 9957/457,6169/836 is 61424733

Greatest Common Factor of 457,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,836 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 457,836 . The biggest common factor number is the GCF number.
So the greatest common factor 457,836 is 1.


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Frequently Asked Questions on Fractional LCM of 9957/457, 6169/836

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9957/457, 6169/836?

Answer: LCM of Numerators as per given numbers 9957/457, 6169/836 is

LCM of Numerators i.e. for 9957,6169 is 61424733

GCF of denominators i.e. for 457,836 is 1.

Thus, LCM of Fractions is 61424733.Finally, LCM of Fractions for 9957/457, 6169/836 is 61424733.