Least Common Multiple of 49/641, 43/362, 101/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/641, 43/362, 101/842 quickly i.e. 212807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/641, 43/362, 101/842 is 212807.

LCM(49/641, 43/362, 101/842) = 212807

LCM of 49/641, 43/362, 101/842

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 49/641,43/362,101/842

Given numbers are 49/641,43/362,101/842

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 49,43,101

Least Common Multiple of Numerators i.e. LCM of 49,43,101 is 212807.

GCF of Denominators means GCF of 641,362,842 as per the given fractions.

GCF of 641,362,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,43,101

LCM of Fractions 49/641,43/362,101/842 is 212807

Given numbers has no common factors except 1. So, there LCM is their product i.e 212807

Least Common Multiple of 49,43,101 with GCF Formula

Least Common Multiple of 49,43,101 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 49,43,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,43,101) = 1

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

GCF(49,43,101) x common factors =1 x 1 = 1

LCM(49,43,101) = ( 49 × 43 × 101 ) / 1

LCM(49,43,101) = 212807 / 1

LCM(49,43,101) = 212807


Lets's calculate GCF of 641,362,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212807/1

Therefore the LCM of Fractions 49/641,43/362,101/842 is 212807

Greatest Common Factor of 641,362,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,362,842 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 641,362,842 . The biggest common factor number is the GCF number.
So the greatest common factor 641,362,842 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 49/641, 43/362, 101/842

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 49/641, 43/362, 101/842?

Answer: LCM of Numerators as per given numbers 49/641, 43/362, 101/842 is

LCM of Numerators i.e. for 49,43,101 is 212807

GCF of denominators i.e. for 641,362,842 is 1.

Thus, LCM of Fractions is 212807.Finally, LCM of Fractions for 49/641, 43/362, 101/842 is 212807.