Least Common Multiple of 354/72, 101/4643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/72, 101/4643 quickly i.e. 35754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/72, 101/4643 is 35754.

LCM(354/72, 101/4643) = 35754

LCM of 354/72, 101/4643

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 354/72,101/4643

Given numbers are 354/72,101/4643

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 354,101

Least Common Multiple of Numerators i.e. LCM of 354,101 is 35754.

GCF of Denominators means GCF of 72,4643 as per the given fractions.

GCF of 72,4643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,101

LCM of Fractions 354/72,101/4643 is 35754

Given numbers has no common factors except 1. So, there LCM is their product i.e 35754

Least Common Multiple of 354,101 with GCF Formula

Least Common Multiple of 354,101 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 354,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,101) = 1

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

GCF(354,101) x common factors =1 x 1 = 1

LCM(354,101) = ( 354 × 101 ) / 1

LCM(354,101) = 35754 / 1

LCM(354,101) = 35754


Lets's calculate GCF of 72,4643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35754/1

Therefore the LCM of Fractions 354/72,101/4643 is 35754

Greatest Common Factor of 72,4643 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,4643 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 4643

List of positive integer factors of 4643 that divides 4643 without a remainder.

1,4643

Greatest Common Factor

We found the factors 72,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 72,4643 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 354/72, 101/4643

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 354/72, 101/4643?

Answer: LCM of Numerators as per given numbers 354/72, 101/4643 is

LCM of Numerators i.e. for 354,101 is 35754

GCF of denominators i.e. for 72,4643 is 1.

Thus, LCM of Fractions is 35754.Finally, LCM of Fractions for 354/72, 101/4643 is 35754.