Least Common Multiple of 56/10, 35/70, 71/14, 64/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/10, 35/70, 71/14, 64/596 quickly i.e. 79520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/10, 35/70, 71/14, 64/596 is 79520.

LCM(56/10, 35/70, 71/14, 64/596) = 79520

LCM of 56/10, 35/70, 71/14, 64/596

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 56/10,35/70,71/14,64/596

Given numbers are 56/10,35/70,71/14,64/596

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 56,35,71,64

Least Common Multiple of Numerators i.e. LCM of 56,35,71,64 is 159040.

GCF of Denominators means GCF of 10,70,14,596 as per the given fractions.

GCF of 10,70,14,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,35,71,64

LCM of Fractions 56/10,35/70,71/14,64/596 is 79520

2 56, 35, 71, 64
2 28, 35, 71, 32
2 14, 35, 71, 16
7 7, 35, 71, 8
1, 5, 71, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 5 x 71 x 8 = 159040

Least Common Multiple of 56,35,71,64 with GCF Formula

Least Common Multiple of 56,35,71,64 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 56,35,71,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,35,71,64) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,35,71,64) x common factors =1 x 56 = 56

LCM(56,35,71,64) = ( 56 × 35 × 71 × 64 ) / 56

LCM(56,35,71,64) = 8906240 / 56

LCM(56,35,71,64) = 159040


Lets's calculate GCF of 10,70,14,596

2 10, 70, 14, 596
5, 35, 7, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159040/2

Therefore the LCM of Fractions 56/10,35/70,71/14,64/596 is 79520

Greatest Common Factor of 10,70,14,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,70,14,596 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 10,70,14,596 . The biggest common factor number is the GCF number.
So the greatest common factor 10,70,14,596 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 56/10, 35/70, 71/14, 64/596

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 56/10, 35/70, 71/14, 64/596?

Answer: LCM of Numerators as per given numbers 56/10, 35/70, 71/14, 64/596 is

LCM of Numerators i.e. for 56,35,71,64 is 159040

GCF of denominators i.e. for 10,70,14,596 is 2.

Thus, LCM of Fractions is 79520.Finally, LCM of Fractions for 56/10, 35/70, 71/14, 64/596 is 79520.