Least Common Multiple of 85/940, 18/409, 938/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/940, 18/409, 938/428 quickly i.e. 717570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/940, 18/409, 938/428 is 717570.

LCM(85/940, 18/409, 938/428) = 717570

LCM of 85/940, 18/409, 938/428

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 85/940,18/409,938/428

Given numbers are 85/940,18/409,938/428

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 85,18,938

Least Common Multiple of Numerators i.e. LCM of 85,18,938 is 717570.

GCF of Denominators means GCF of 940,409,428 as per the given fractions.

GCF of 940,409,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,18,938

LCM of Fractions 85/940,18/409,938/428 is 717570

2 85, 18, 938
85, 9, 469

∴ So the LCM of the given numbers is 2 x 85 x 9 x 469 = 717570

Least Common Multiple of 85,18,938 with GCF Formula

Least Common Multiple of 85,18,938 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 85,18,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,18,938) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,18,938) x common factors =1 x 2 = 2

LCM(85,18,938) = ( 85 × 18 × 938 ) / 2

LCM(85,18,938) = 1435140 / 2

LCM(85,18,938) = 717570


Lets's calculate GCF of 940,409,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 717570/1

Therefore the LCM of Fractions 85/940,18/409,938/428 is 717570

Greatest Common Factor of 940,409,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,409,428 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 940,409,428 . The biggest common factor number is the GCF number.
So the greatest common factor 940,409,428 is 1.


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 85/940, 18/409, 938/428

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 85/940, 18/409, 938/428?

Answer: LCM of Numerators as per given numbers 85/940, 18/409, 938/428 is

LCM of Numerators i.e. for 85,18,938 is 717570

GCF of denominators i.e. for 940,409,428 is 1.

Thus, LCM of Fractions is 717570.Finally, LCM of Fractions for 85/940, 18/409, 938/428 is 717570.