Least Common Multiple of 951/87, 101/70, 228/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 951/87, 101/70, 228/574 quickly i.e. 7299876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 951/87, 101/70, 228/574 is 7299876.

LCM(951/87, 101/70, 228/574) = 7299876

LCM of 951/87, 101/70, 228/574

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 951/87,101/70,228/574

Given numbers are 951/87,101/70,228/574

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 951,101,228

Least Common Multiple of Numerators i.e. LCM of 951,101,228 is 7299876.

GCF of Denominators means GCF of 87,70,574 as per the given fractions.

GCF of 87,70,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 951,101,228

LCM of Fractions 951/87,101/70,228/574 is 7299876

3 951, 101, 228
317, 101, 76

∴ So the LCM of the given numbers is 3 x 317 x 101 x 76 = 7299876

Least Common Multiple of 951,101,228 with GCF Formula

Least Common Multiple of 951,101,228 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 951,101,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,101,228) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(951,101,228) x common factors =1 x 3 = 3

LCM(951,101,228) = ( 951 × 101 × 228 ) / 3

LCM(951,101,228) = 21899628 / 3

LCM(951,101,228) = 7299876


Lets's calculate GCF of 87,70,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7299876/1

Therefore the LCM of Fractions 951/87,101/70,228/574 is 7299876

Greatest Common Factor of 87,70,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,70,574 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

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 87,70,574 . The biggest common factor number is the GCF number.
So the greatest common factor 87,70,574 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 951/87, 101/70, 228/574

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 951/87, 101/70, 228/574?

Answer: LCM of Numerators as per given numbers 951/87, 101/70, 228/574 is

LCM of Numerators i.e. for 951,101,228 is 7299876

GCF of denominators i.e. for 87,70,574 is 1.

Thus, LCM of Fractions is 7299876.Finally, LCM of Fractions for 951/87, 101/70, 228/574 is 7299876.