Least Common Multiple of 55/56, 65/20, 520/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/56, 65/20, 520/870 quickly i.e. 2860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/56, 65/20, 520/870 is 2860.

LCM(55/56, 65/20, 520/870) = 2860

LCM of 55/56, 65/20, 520/870

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 55/56,65/20,520/870

Given numbers are 55/56,65/20,520/870

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 55,65,520

Least Common Multiple of Numerators i.e. LCM of 55,65,520 is 5720.

GCF of Denominators means GCF of 56,20,870 as per the given fractions.

GCF of 56,20,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,65,520

LCM of Fractions 55/56,65/20,520/870 is 2860

5 55, 65, 520
13 11, 13, 104
11, 1, 8

∴ So the LCM of the given numbers is 5 x 13 x 11 x 1 x 8 = 5720

Least Common Multiple of 55,65,520 with GCF Formula

Least Common Multiple of 55,65,520 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 55,65,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,65,520) = 5

common factors(in case of two or more numbers have common factors) = 65

GCF(55,65,520) x common factors =5 x 65 = 325

LCM(55,65,520) = ( 55 × 65 × 520 ) / 325

LCM(55,65,520) = 1859000 / 325

LCM(55,65,520) = 5720


Lets's calculate GCF of 56,20,870

2 56, 20, 870
28, 10, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5720/2

Therefore the LCM of Fractions 55/56,65/20,520/870 is 2860

Greatest Common Factor of 56,20,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,20,870 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 56,20,870 . The biggest common factor number is the GCF number.
So the greatest common factor 56,20,870 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 55/56, 65/20, 520/870

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 55/56, 65/20, 520/870?

Answer: LCM of Numerators as per given numbers 55/56, 65/20, 520/870 is

LCM of Numerators i.e. for 55,65,520 is 5720

GCF of denominators i.e. for 56,20,870 is 2.

Thus, LCM of Fractions is 2860.Finally, LCM of Fractions for 55/56, 65/20, 520/870 is 2860.