Least Common Multiple of 397/950, 312/878, 272/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/950, 312/878, 272/194 quickly i.e. 2105688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/950, 312/878, 272/194 is 2105688.

LCM(397/950, 312/878, 272/194) = 2105688

LCM of 397/950, 312/878, 272/194

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 397/950,312/878,272/194

Given numbers are 397/950,312/878,272/194

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 397,312,272

Least Common Multiple of Numerators i.e. LCM of 397,312,272 is 4211376.

GCF of Denominators means GCF of 950,878,194 as per the given fractions.

GCF of 950,878,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,312,272

LCM of Fractions 397/950,312/878,272/194 is 2105688

2 397, 312, 272
2 397, 156, 136
2 397, 78, 68
397, 39, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 397 x 39 x 34 = 4211376

Least Common Multiple of 397,312,272 with GCF Formula

Least Common Multiple of 397,312,272 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 397,312,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,312,272) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(397,312,272) x common factors =1 x 8 = 8

LCM(397,312,272) = ( 397 × 312 × 272 ) / 8

LCM(397,312,272) = 33691008 / 8

LCM(397,312,272) = 4211376


Lets's calculate GCF of 950,878,194

2 950, 878, 194
475, 439, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4211376/2

Therefore the LCM of Fractions 397/950,312/878,272/194 is 2105688

Greatest Common Factor of 950,878,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,878,194 By Matching Biggest Common Factor Method

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 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 950,878,194 . The biggest common factor number is the GCF number.
So the greatest common factor 950,878,194 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 397/950, 312/878, 272/194

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 397/950, 312/878, 272/194?

Answer: LCM of Numerators as per given numbers 397/950, 312/878, 272/194 is

LCM of Numerators i.e. for 397,312,272 is 4211376

GCF of denominators i.e. for 950,878,194 is 2.

Thus, LCM of Fractions is 2105688.Finally, LCM of Fractions for 397/950, 312/878, 272/194 is 2105688.