Least Common Multiple of 185/56, 468/70, 272/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/56, 468/70, 272/961 quickly i.e. 5887440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/56, 468/70, 272/961 is 5887440.

LCM(185/56, 468/70, 272/961) = 5887440

LCM of 185/56, 468/70, 272/961

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 185/56,468/70,272/961

Given numbers are 185/56,468/70,272/961

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 185,468,272

Least Common Multiple of Numerators i.e. LCM of 185,468,272 is 5887440.

GCF of Denominators means GCF of 56,70,961 as per the given fractions.

GCF of 56,70,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,468,272

LCM of Fractions 185/56,468/70,272/961 is 5887440

2 185, 468, 272
2 185, 234, 136
185, 117, 68

∴ So the LCM of the given numbers is 2 x 2 x 185 x 117 x 68 = 5887440

Least Common Multiple of 185,468,272 with GCF Formula

Least Common Multiple of 185,468,272 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 185,468,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,468,272) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(185,468,272) x common factors =1 x 4 = 4

LCM(185,468,272) = ( 185 × 468 × 272 ) / 4

LCM(185,468,272) = 23549760 / 4

LCM(185,468,272) = 5887440


Lets's calculate GCF of 56,70,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5887440/1

Therefore the LCM of Fractions 185/56,468/70,272/961 is 5887440

Greatest Common Factor of 56,70,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,70,961 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 56,70,961 . The biggest common factor number is the GCF number.
So the greatest common factor 56,70,961 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 185/56, 468/70, 272/961

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 185/56, 468/70, 272/961?

Answer: LCM of Numerators as per given numbers 185/56, 468/70, 272/961 is

LCM of Numerators i.e. for 185,468,272 is 5887440

GCF of denominators i.e. for 56,70,961 is 1.

Thus, LCM of Fractions is 5887440.Finally, LCM of Fractions for 185/56, 468/70, 272/961 is 5887440.