Least Common Multiple of 870/55, 6815/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/55, 6815/523 quickly i.e. 40890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/55, 6815/523 is 40890.

LCM(870/55, 6815/523) = 40890

LCM of 870/55, 6815/523

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 870/55,6815/523

Given numbers are 870/55,6815/523

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 870,6815

Least Common Multiple of Numerators i.e. LCM of 870,6815 is 40890.

GCF of Denominators means GCF of 55,523 as per the given fractions.

GCF of 55,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,6815

LCM of Fractions 870/55,6815/523 is 40890

5 870, 6815
29 174, 1363
6, 47

∴ So the LCM of the given numbers is 5 x 29 x 6 x 47 = 40890

Least Common Multiple of 870,6815 with GCF Formula

Least Common Multiple of 870,6815 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 870,6815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,6815) = 145

common factors(in case of two or more numbers have common factors) = 1

GCF(870,6815) x common factors =145 x 1 = 145

LCM(870,6815) = ( 870 × 6815 ) / 145

LCM(870,6815) = 5929050 / 145

LCM(870,6815) = 40890


Lets's calculate GCF of 55,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40890/1

Therefore the LCM of Fractions 870/55,6815/523 is 40890

Greatest Common Factor of 55,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,523 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 55,523 . The biggest common factor number is the GCF number.
So the greatest common factor 55,523 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 870/55, 6815/523

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 870/55, 6815/523?

Answer: LCM of Numerators as per given numbers 870/55, 6815/523 is

LCM of Numerators i.e. for 870,6815 is 40890

GCF of denominators i.e. for 55,523 is 1.

Thus, LCM of Fractions is 40890.Finally, LCM of Fractions for 870/55, 6815/523 is 40890.