Least Common Multiple of 431/90, 877/35, 620/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 431/90, 877/35, 620/574 quickly i.e. 234351940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/90, 877/35, 620/574 is 234351940.

LCM(431/90, 877/35, 620/574) = 234351940

LCM of 431/90, 877/35, 620/574

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 431/90,877/35,620/574

Given numbers are 431/90,877/35,620/574

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 431,877,620

Least Common Multiple of Numerators i.e. LCM of 431,877,620 is 234351940.

GCF of Denominators means GCF of 90,35,574 as per the given fractions.

GCF of 90,35,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,877,620

LCM of Fractions 431/90,877/35,620/574 is 234351940

Given numbers has no common factors except 1. So, there LCM is their product i.e 234351940

Least Common Multiple of 431,877,620 with GCF Formula

Least Common Multiple of 431,877,620 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 431,877,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,877,620) = 1

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

GCF(431,877,620) x common factors =1 x 1 = 1

LCM(431,877,620) = ( 431 × 877 × 620 ) / 1

LCM(431,877,620) = 234351940 / 1

LCM(431,877,620) = 234351940


Lets's calculate GCF of 90,35,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234351940/1

Therefore the LCM of Fractions 431/90,877/35,620/574 is 234351940

Greatest Common Factor of 90,35,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,35,574 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 90,35,574 . The biggest common factor number is the GCF number.
So the greatest common factor 90,35,574 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 431/90, 877/35, 620/574

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 431/90, 877/35, 620/574?

Answer: LCM of Numerators as per given numbers 431/90, 877/35, 620/574 is

LCM of Numerators i.e. for 431,877,620 is 234351940

GCF of denominators i.e. for 90,35,574 is 1.

Thus, LCM of Fractions is 234351940.Finally, LCM of Fractions for 431/90, 877/35, 620/574 is 234351940.