Least Common Multiple of 23/62, 72/84, 381/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/62, 72/84, 381/101 quickly i.e. 210312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/62, 72/84, 381/101 is 210312.

LCM(23/62, 72/84, 381/101) = 210312

LCM of 23/62, 72/84, 381/101

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 23/62,72/84,381/101

Given numbers are 23/62,72/84,381/101

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 23,72,381

Least Common Multiple of Numerators i.e. LCM of 23,72,381 is 210312.

GCF of Denominators means GCF of 62,84,101 as per the given fractions.

GCF of 62,84,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,72,381

LCM of Fractions 23/62,72/84,381/101 is 210312

3 23, 72, 381
23, 24, 127

∴ So the LCM of the given numbers is 3 x 23 x 24 x 127 = 210312

Least Common Multiple of 23,72,381 with GCF Formula

Least Common Multiple of 23,72,381 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 23,72,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,72,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(23,72,381) x common factors =1 x 3 = 3

LCM(23,72,381) = ( 23 × 72 × 381 ) / 3

LCM(23,72,381) = 630936 / 3

LCM(23,72,381) = 210312


Lets's calculate GCF of 62,84,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210312/1

Therefore the LCM of Fractions 23/62,72/84,381/101 is 210312

Greatest Common Factor of 62,84,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,84,101 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 101

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

1,101

Greatest Common Factor

We found the factors 62,84,101 . The biggest common factor number is the GCF number.
So the greatest common factor 62,84,101 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 23/62, 72/84, 381/101

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 23/62, 72/84, 381/101?

Answer: LCM of Numerators as per given numbers 23/62, 72/84, 381/101 is

LCM of Numerators i.e. for 23,72,381 is 210312

GCF of denominators i.e. for 62,84,101 is 1.

Thus, LCM of Fractions is 210312.Finally, LCM of Fractions for 23/62, 72/84, 381/101 is 210312.