Least Common Multiple of 56/684, 47/560, 176/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/684, 47/560, 176/740 quickly i.e. 14476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/684, 47/560, 176/740 is 14476.

LCM(56/684, 47/560, 176/740) = 14476

LCM of 56/684, 47/560, 176/740

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 56/684,47/560,176/740

Given numbers are 56/684,47/560,176/740

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 56,47,176

Least Common Multiple of Numerators i.e. LCM of 56,47,176 is 57904.

GCF of Denominators means GCF of 684,560,740 as per the given fractions.

GCF of 684,560,740 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,47,176

LCM of Fractions 56/684,47/560,176/740 is 14476

2 56, 47, 176
2 28, 47, 88
2 14, 47, 44
7, 47, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 47 x 22 = 57904

Least Common Multiple of 56,47,176 with GCF Formula

Least Common Multiple of 56,47,176 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 56,47,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,47,176) = 1

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

GCF(56,47,176) x common factors =1 x 8 = 8

LCM(56,47,176) = ( 56 × 47 × 176 ) / 8

LCM(56,47,176) = 463232 / 8

LCM(56,47,176) = 57904


Lets's calculate GCF of 684,560,740

2 684, 560, 740
2 342, 280, 370
171, 140, 185

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57904/4

Therefore the LCM of Fractions 56/684,47/560,176/740 is 14476

Greatest Common Factor of 684,560,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,560,740 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 684,560,740 . The biggest common factor number is the GCF number.
So the greatest common factor 684,560,740 is 4.


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 56/684, 47/560, 176/740

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 56/684, 47/560, 176/740?

Answer: LCM of Numerators as per given numbers 56/684, 47/560, 176/740 is

LCM of Numerators i.e. for 56,47,176 is 57904

GCF of denominators i.e. for 684,560,740 is 4.

Thus, LCM of Fractions is 14476.Finally, LCM of Fractions for 56/684, 47/560, 176/740 is 14476.