Least Common Multiple of 690/72, 8114/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/72, 8114/879 quickly i.e. 933110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/72, 8114/879 is 933110.

LCM(690/72, 8114/879) = 933110

LCM of 690/72, 8114/879

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 690/72,8114/879

Given numbers are 690/72,8114/879

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 690,8114

Least Common Multiple of Numerators i.e. LCM of 690,8114 is 2799330.

GCF of Denominators means GCF of 72,879 as per the given fractions.

GCF of 72,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,8114

LCM of Fractions 690/72,8114/879 is 933110

2 690, 8114
345, 4057

∴ So the LCM of the given numbers is 2 x 345 x 4057 = 2799330

Least Common Multiple of 690,8114 with GCF Formula

Least Common Multiple of 690,8114 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 690,8114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,8114) = 2

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

GCF(690,8114) x common factors =2 x 1 = 2

LCM(690,8114) = ( 690 × 8114 ) / 2

LCM(690,8114) = 5598660 / 2

LCM(690,8114) = 2799330


Lets's calculate GCF of 72,879

3 72, 879
24, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2799330/3

Therefore the LCM of Fractions 690/72,8114/879 is 933110

Greatest Common Factor of 72,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,879 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 72,879 . The biggest common factor number is the GCF number.
So the greatest common factor 72,879 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 690/72, 8114/879

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 690/72, 8114/879?

Answer: LCM of Numerators as per given numbers 690/72, 8114/879 is

LCM of Numerators i.e. for 690,8114 is 2799330

GCF of denominators i.e. for 72,879 is 3.

Thus, LCM of Fractions is 933110.Finally, LCM of Fractions for 690/72, 8114/879 is 933110.