Least Common Multiple of 56/185, 40/651, 288/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/185, 40/651, 288/114 quickly i.e. 10080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/185, 40/651, 288/114 is 10080.

LCM(56/185, 40/651, 288/114) = 10080

LCM of 56/185, 40/651, 288/114

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 56/185,40/651,288/114

Given numbers are 56/185,40/651,288/114

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 56,40,288

Least Common Multiple of Numerators i.e. LCM of 56,40,288 is 10080.

GCF of Denominators means GCF of 185,651,114 as per the given fractions.

GCF of 185,651,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,40,288

LCM of Fractions 56/185,40/651,288/114 is 10080

2 56, 40, 288
2 28, 20, 144
2 14, 10, 72
7, 5, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 36 = 10080

Least Common Multiple of 56,40,288 with GCF Formula

Least Common Multiple of 56,40,288 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 56,40,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,40,288) = 8

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

GCF(56,40,288) x common factors =8 x 8 = 64

LCM(56,40,288) = ( 56 × 40 × 288 ) / 64

LCM(56,40,288) = 645120 / 64

LCM(56,40,288) = 10080


Lets's calculate GCF of 185,651,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10080/1

Therefore the LCM of Fractions 56/185,40/651,288/114 is 10080

Greatest Common Factor of 185,651,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,651,114 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 185,651,114 . The biggest common factor number is the GCF number.
So the greatest common factor 185,651,114 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 56/185, 40/651, 288/114

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 56/185, 40/651, 288/114?

Answer: LCM of Numerators as per given numbers 56/185, 40/651, 288/114 is

LCM of Numerators i.e. for 56,40,288 is 10080

GCF of denominators i.e. for 185,651,114 is 1.

Thus, LCM of Fractions is 10080.Finally, LCM of Fractions for 56/185, 40/651, 288/114 is 10080.