Least Common Multiple of 870/99, 3775/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/99, 3775/879 quickly i.e. 218950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/99, 3775/879 is 218950.

LCM(870/99, 3775/879) = 218950

LCM of 870/99, 3775/879

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 870/99,3775/879

Given numbers are 870/99,3775/879

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 870,3775

Least Common Multiple of Numerators i.e. LCM of 870,3775 is 656850.

GCF of Denominators means GCF of 99,879 as per the given fractions.

GCF of 99,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,3775

LCM of Fractions 870/99,3775/879 is 218950

5 870, 3775
174, 755

∴ So the LCM of the given numbers is 5 x 174 x 755 = 656850

Least Common Multiple of 870,3775 with GCF Formula

Least Common Multiple of 870,3775 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 870,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,3775) = 5

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

GCF(870,3775) x common factors =5 x 1 = 5

LCM(870,3775) = ( 870 × 3775 ) / 5

LCM(870,3775) = 3284250 / 5

LCM(870,3775) = 656850


Lets's calculate GCF of 99,879

3 99, 879
33, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 656850/3

Therefore the LCM of Fractions 870/99,3775/879 is 218950

Greatest Common Factor of 99,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,879 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 99,879 . The biggest common factor number is the GCF number.
So the greatest common factor 99,879 is 3.


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 870/99, 3775/879

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 870/99, 3775/879?

Answer: LCM of Numerators as per given numbers 870/99, 3775/879 is

LCM of Numerators i.e. for 870,3775 is 656850

GCF of denominators i.e. for 99,879 is 3.

Thus, LCM of Fractions is 218950.Finally, LCM of Fractions for 870/99, 3775/879 is 218950.