Least Common Multiple of 177/286, 7021/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/286, 7021/847 quickly i.e. 21063/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/286, 7021/847 is 21063/11.

LCM(177/286, 7021/847) = 21063/11

LCM of 177/286, 7021/847

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 177/286,7021/847

Given numbers are 177/286,7021/847

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 177,7021

Least Common Multiple of Numerators i.e. LCM of 177,7021 is 21063.

GCF of Denominators means GCF of 286,847 as per the given fractions.

GCF of 286,847 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,7021

LCM of Fractions 177/286,7021/847 is 21063/11

59 177, 7021
3, 119

∴ So the LCM of the given numbers is 59 x 3 x 119 = 21063

Least Common Multiple of 177,7021 with GCF Formula

Least Common Multiple of 177,7021 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 177,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,7021) = 59

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

GCF(177,7021) x common factors =59 x 1 = 59

LCM(177,7021) = ( 177 × 7021 ) / 59

LCM(177,7021) = 1242717 / 59

LCM(177,7021) = 21063


Lets's calculate GCF of 286,847

11 286, 847
26, 77

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21063/11

Therefore the LCM of Fractions 177/286,7021/847 is 21063/11

Greatest Common Factor of 286,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,847 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 286,847 . The biggest common factor number is the GCF number.
So the greatest common factor 286,847 is 11.


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 177/286, 7021/847

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 177/286, 7021/847?

Answer: LCM of Numerators as per given numbers 177/286, 7021/847 is

LCM of Numerators i.e. for 177,7021 is 21063

GCF of denominators i.e. for 286,847 is 11.

Thus, LCM of Fractions is 21063/11.Finally, LCM of Fractions for 177/286, 7021/847 is 21063/11.