Least Common Multiple of 7474/904, 7396/3164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7474/904, 7396/3164 quickly i.e. 27638852/452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7474/904, 7396/3164 is 27638852/452.

LCM(7474/904, 7396/3164) = 27638852/452

LCM of 7474/904, 7396/3164

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 7474/904,7396/3164

Given numbers are 7474/904,7396/3164

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 7474,7396

Least Common Multiple of Numerators i.e. LCM of 7474,7396 is 27638852.

GCF of Denominators means GCF of 904,3164 as per the given fractions.

GCF of 904,3164 is 452 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7474,7396

LCM of Fractions 7474/904,7396/3164 is 27638852/452

2 7474, 7396
3737, 3698

∴ So the LCM of the given numbers is 2 x 3737 x 3698 = 27638852

Least Common Multiple of 7474,7396 with GCF Formula

Least Common Multiple of 7474,7396 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 7474,7396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7474,7396) = 2

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

GCF(7474,7396) x common factors =2 x 1 = 2

LCM(7474,7396) = ( 7474 × 7396 ) / 2

LCM(7474,7396) = 55277704 / 2

LCM(7474,7396) = 27638852


Lets's calculate GCF of 904,3164

2 904, 3164
2 452, 1582
113 226, 791
2, 7

∴ So the GCF of the given numbers is 2 x 2 x 113 = 452

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27638852/452

Therefore the LCM of Fractions 7474/904,7396/3164 is 27638852/452

Greatest Common Factor of 904,3164 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,3164 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Greatest Common Factor

We found the factors 904,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 904,3164 is 452.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7474/904, 7396/3164

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 7474/904, 7396/3164?

Answer: LCM of Numerators as per given numbers 7474/904, 7396/3164 is

LCM of Numerators i.e. for 7474,7396 is 27638852

GCF of denominators i.e. for 904,3164 is 452.

Thus, LCM of Fractions is 27638852/452.Finally, LCM of Fractions for 7474/904, 7396/3164 is 27638852/452.