Least Common Multiple of 722/62, 646/10, 272/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/62, 646/10, 272/367 quickly i.e. 98192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/62, 646/10, 272/367 is 98192.

LCM(722/62, 646/10, 272/367) = 98192

LCM of 722/62, 646/10, 272/367

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 722/62,646/10,272/367

Given numbers are 722/62,646/10,272/367

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 722,646,272

Least Common Multiple of Numerators i.e. LCM of 722,646,272 is 98192.

GCF of Denominators means GCF of 62,10,367 as per the given fractions.

GCF of 62,10,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,646,272

LCM of Fractions 722/62,646/10,272/367 is 98192

2 722, 646, 272
17 361, 323, 136
19 361, 19, 8
1, 19, 8

∴ So the LCM of the given numbers is 2 x 17 x 19 x 1 x 19 x 8 = 98192

Least Common Multiple of 722,646,272 with GCF Formula

Least Common Multiple of 722,646,272 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 722,646,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,646,272) = 2

common factors(in case of two or more numbers have common factors) = 646

GCF(722,646,272) x common factors =2 x 646 = 1292

LCM(722,646,272) = ( 722 × 646 × 272 ) / 1292

LCM(722,646,272) = 126864064 / 1292

LCM(722,646,272) = 98192


Lets's calculate GCF of 62,10,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98192/1

Therefore the LCM of Fractions 722/62,646/10,272/367 is 98192

Greatest Common Factor of 62,10,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,10,367 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 62,10,367 . The biggest common factor number is the GCF number.
So the greatest common factor 62,10,367 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 722/62, 646/10, 272/367

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 722/62, 646/10, 272/367?

Answer: LCM of Numerators as per given numbers 722/62, 646/10, 272/367 is

LCM of Numerators i.e. for 722,646,272 is 98192

GCF of denominators i.e. for 62,10,367 is 1.

Thus, LCM of Fractions is 98192.Finally, LCM of Fractions for 722/62, 646/10, 272/367 is 98192.