Least Common Multiple of 431/94, 980/28, 904/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/94, 980/28, 904/740 quickly i.e. 47728940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/94, 980/28, 904/740 is 47728940.

LCM(431/94, 980/28, 904/740) = 47728940

LCM of 431/94, 980/28, 904/740

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 431/94,980/28,904/740

Given numbers are 431/94,980/28,904/740

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 431,980,904

Least Common Multiple of Numerators i.e. LCM of 431,980,904 is 95457880.

GCF of Denominators means GCF of 94,28,740 as per the given fractions.

GCF of 94,28,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,980,904

LCM of Fractions 431/94,980/28,904/740 is 47728940

2 431, 980, 904
2 431, 490, 452
431, 245, 226

∴ So the LCM of the given numbers is 2 x 2 x 431 x 245 x 226 = 95457880

Least Common Multiple of 431,980,904 with GCF Formula

Least Common Multiple of 431,980,904 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 431,980,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,980,904) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(431,980,904) x common factors =1 x 4 = 4

LCM(431,980,904) = ( 431 × 980 × 904 ) / 4

LCM(431,980,904) = 381831520 / 4

LCM(431,980,904) = 95457880


Lets's calculate GCF of 94,28,740

2 94, 28, 740
47, 14, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95457880/2

Therefore the LCM of Fractions 431/94,980/28,904/740 is 47728940

Greatest Common Factor of 94,28,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,28,740 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 94,28,740 . The biggest common factor number is the GCF number.
So the greatest common factor 94,28,740 is 2.


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 431/94, 980/28, 904/740

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 431/94, 980/28, 904/740?

Answer: LCM of Numerators as per given numbers 431/94, 980/28, 904/740 is

LCM of Numerators i.e. for 431,980,904 is 95457880

GCF of denominators i.e. for 94,28,740 is 2.

Thus, LCM of Fractions is 47728940.Finally, LCM of Fractions for 431/94, 980/28, 904/740 is 47728940.