Least Common Multiple of 679/471, 3870/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/471, 3870/231 quickly i.e. 875910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/471, 3870/231 is 875910.

LCM(679/471, 3870/231) = 875910

LCM of 679/471, 3870/231

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 679/471,3870/231

Given numbers are 679/471,3870/231

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 679,3870

Least Common Multiple of Numerators i.e. LCM of 679,3870 is 2627730.

GCF of Denominators means GCF of 471,231 as per the given fractions.

GCF of 471,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,3870

LCM of Fractions 679/471,3870/231 is 875910

Given numbers has no common factors except 1. So, there LCM is their product i.e 2627730

Least Common Multiple of 679,3870 with GCF Formula

Least Common Multiple of 679,3870 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 679,3870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,3870) = 1

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

GCF(679,3870) x common factors =1 x 1 = 1

LCM(679,3870) = ( 679 × 3870 ) / 1

LCM(679,3870) = 2627730 / 1

LCM(679,3870) = 2627730


Lets's calculate GCF of 471,231

3 471, 231
157, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2627730/3

Therefore the LCM of Fractions 679/471,3870/231 is 875910

Greatest Common Factor of 471,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,231 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 471,231 . The biggest common factor number is the GCF number.
So the greatest common factor 471,231 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 679/471, 3870/231

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 679/471, 3870/231?

Answer: LCM of Numerators as per given numbers 679/471, 3870/231 is

LCM of Numerators i.e. for 679,3870 is 2627730

GCF of denominators i.e. for 471,231 is 3.

Thus, LCM of Fractions is 875910.Finally, LCM of Fractions for 679/471, 3870/231 is 875910.