Least Common Multiple of 904/970, 5767/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 904/970, 5767/498 quickly i.e. 2606684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/970, 5767/498 is 2606684.

LCM(904/970, 5767/498) = 2606684

LCM of 904/970, 5767/498

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 904/970,5767/498

Given numbers are 904/970,5767/498

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 904,5767

Least Common Multiple of Numerators i.e. LCM of 904,5767 is 5213368.

GCF of Denominators means GCF of 970,498 as per the given fractions.

GCF of 970,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,5767

LCM of Fractions 904/970,5767/498 is 2606684

Given numbers has no common factors except 1. So, there LCM is their product i.e 5213368

Least Common Multiple of 904,5767 with GCF Formula

Least Common Multiple of 904,5767 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 904,5767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,5767) = 1

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

GCF(904,5767) x common factors =1 x 1 = 1

LCM(904,5767) = ( 904 × 5767 ) / 1

LCM(904,5767) = 5213368 / 1

LCM(904,5767) = 5213368


Lets's calculate GCF of 970,498

2 970, 498
485, 249

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5213368/2

Therefore the LCM of Fractions 904/970,5767/498 is 2606684

Greatest Common Factor of 970,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,498 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 970,498 . The biggest common factor number is the GCF number.
So the greatest common factor 970,498 is 2.


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Frequently Asked Questions on Fractional LCM of 904/970, 5767/498

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 904/970, 5767/498?

Answer: LCM of Numerators as per given numbers 904/970, 5767/498 is

LCM of Numerators i.e. for 904,5767 is 5213368

GCF of denominators i.e. for 970,498 is 2.

Thus, LCM of Fractions is 2606684.Finally, LCM of Fractions for 904/970, 5767/498 is 2606684.