Least Common Multiple of 12/400, 745/950, 938/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/400, 745/950, 938/980 quickly i.e. 419286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/400, 745/950, 938/980 is 419286.

LCM(12/400, 745/950, 938/980) = 419286

LCM of 12/400, 745/950, 938/980

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 12/400,745/950,938/980

Given numbers are 12/400,745/950,938/980

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 12,745,938

Least Common Multiple of Numerators i.e. LCM of 12,745,938 is 4192860.

GCF of Denominators means GCF of 400,950,980 as per the given fractions.

GCF of 400,950,980 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,745,938

LCM of Fractions 12/400,745/950,938/980 is 419286

2 12, 745, 938
6, 745, 469

∴ So the LCM of the given numbers is 2 x 6 x 745 x 469 = 4192860

Least Common Multiple of 12,745,938 with GCF Formula

Least Common Multiple of 12,745,938 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 12,745,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,745,938) = 1

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

GCF(12,745,938) x common factors =1 x 2 = 2

LCM(12,745,938) = ( 12 × 745 × 938 ) / 2

LCM(12,745,938) = 8385720 / 2

LCM(12,745,938) = 4192860


Lets's calculate GCF of 400,950,980

2 400, 950, 980
5 200, 475, 490
40, 95, 98

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4192860/10

Therefore the LCM of Fractions 12/400,745/950,938/980 is 419286

Greatest Common Factor of 400,950,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,950,980 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 400,950,980 . The biggest common factor number is the GCF number.
So the greatest common factor 400,950,980 is 10.


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 12/400, 745/950, 938/980

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 12/400, 745/950, 938/980?

Answer: LCM of Numerators as per given numbers 12/400, 745/950, 938/980 is

LCM of Numerators i.e. for 12,745,938 is 4192860

GCF of denominators i.e. for 400,950,980 is 10.

Thus, LCM of Fractions is 419286.Finally, LCM of Fractions for 12/400, 745/950, 938/980 is 419286.