Least Common Multiple of 84/101, 659/711, 289/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/101, 659/711, 289/157 quickly i.e. 15997884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/101, 659/711, 289/157 is 15997884.

LCM(84/101, 659/711, 289/157) = 15997884

LCM of 84/101, 659/711, 289/157

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 84/101,659/711,289/157

Given numbers are 84/101,659/711,289/157

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 84,659,289

Least Common Multiple of Numerators i.e. LCM of 84,659,289 is 15997884.

GCF of Denominators means GCF of 101,711,157 as per the given fractions.

GCF of 101,711,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,659,289

LCM of Fractions 84/101,659/711,289/157 is 15997884

Given numbers has no common factors except 1. So, there LCM is their product i.e 15997884

Least Common Multiple of 84,659,289 with GCF Formula

Least Common Multiple of 84,659,289 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 84,659,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,659,289) = 1

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

GCF(84,659,289) x common factors =1 x 1 = 1

LCM(84,659,289) = ( 84 × 659 × 289 ) / 1

LCM(84,659,289) = 15997884 / 1

LCM(84,659,289) = 15997884


Lets's calculate GCF of 101,711,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15997884/1

Therefore the LCM of Fractions 84/101,659/711,289/157 is 15997884

Greatest Common Factor of 101,711,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,711,157 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 101,711,157 . The biggest common factor number is the GCF number.
So the greatest common factor 101,711,157 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 84/101, 659/711, 289/157

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 84/101, 659/711, 289/157?

Answer: LCM of Numerators as per given numbers 84/101, 659/711, 289/157 is

LCM of Numerators i.e. for 84,659,289 is 15997884

GCF of denominators i.e. for 101,711,157 is 1.

Thus, LCM of Fractions is 15997884.Finally, LCM of Fractions for 84/101, 659/711, 289/157 is 15997884.