Least Common Multiple of 12/948, 971/538, 900/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/948, 971/538, 900/552 quickly i.e. 436950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/948, 971/538, 900/552 is 436950.

LCM(12/948, 971/538, 900/552) = 436950

LCM of 12/948, 971/538, 900/552

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 12/948,971/538,900/552

Given numbers are 12/948,971/538,900/552

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 12,971,900

Least Common Multiple of Numerators i.e. LCM of 12,971,900 is 873900.

GCF of Denominators means GCF of 948,538,552 as per the given fractions.

GCF of 948,538,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,971,900

LCM of Fractions 12/948,971/538,900/552 is 436950

2 12, 971, 900
2 6, 971, 450
3 3, 971, 225
1, 971, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 971 x 75 = 873900

Least Common Multiple of 12,971,900 with GCF Formula

Least Common Multiple of 12,971,900 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 12,971,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,971,900) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,971,900) x common factors =1 x 12 = 12

LCM(12,971,900) = ( 12 × 971 × 900 ) / 12

LCM(12,971,900) = 10486800 / 12

LCM(12,971,900) = 873900


Lets's calculate GCF of 948,538,552

2 948, 538, 552
474, 269, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 873900/2

Therefore the LCM of Fractions 12/948,971/538,900/552 is 436950

Greatest Common Factor of 948,538,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,538,552 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 948,538,552 . The biggest common factor number is the GCF number.
So the greatest common factor 948,538,552 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 12/948, 971/538, 900/552

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 12/948, 971/538, 900/552?

Answer: LCM of Numerators as per given numbers 12/948, 971/538, 900/552 is

LCM of Numerators i.e. for 12,971,900 is 873900

GCF of denominators i.e. for 948,538,552 is 2.

Thus, LCM of Fractions is 436950.Finally, LCM of Fractions for 12/948, 971/538, 900/552 is 436950.