Least Common Multiple of 10/60, 397/24, 492/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/60, 397/24, 492/351 quickly i.e. 325540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/60, 397/24, 492/351 is 325540.

LCM(10/60, 397/24, 492/351) = 325540

LCM of 10/60, 397/24, 492/351

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 10/60,397/24,492/351

Given numbers are 10/60,397/24,492/351

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 10,397,492

Least Common Multiple of Numerators i.e. LCM of 10,397,492 is 976620.

GCF of Denominators means GCF of 60,24,351 as per the given fractions.

GCF of 60,24,351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,397,492

LCM of Fractions 10/60,397/24,492/351 is 325540

2 10, 397, 492
5, 397, 246

∴ So the LCM of the given numbers is 2 x 5 x 397 x 246 = 976620

Least Common Multiple of 10,397,492 with GCF Formula

Least Common Multiple of 10,397,492 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 10,397,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,397,492) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,397,492) x common factors =1 x 2 = 2

LCM(10,397,492) = ( 10 × 397 × 492 ) / 2

LCM(10,397,492) = 1953240 / 2

LCM(10,397,492) = 976620


Lets's calculate GCF of 60,24,351

3 60, 24, 351
20, 8, 117

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976620/3

Therefore the LCM of Fractions 10/60,397/24,492/351 is 325540

Greatest Common Factor of 60,24,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,24,351 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 60,24,351 . The biggest common factor number is the GCF number.
So the greatest common factor 60,24,351 is 3.


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 10/60, 397/24, 492/351

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 10/60, 397/24, 492/351?

Answer: LCM of Numerators as per given numbers 10/60, 397/24, 492/351 is

LCM of Numerators i.e. for 10,397,492 is 976620

GCF of denominators i.e. for 60,24,351 is 3.

Thus, LCM of Fractions is 325540.Finally, LCM of Fractions for 10/60, 397/24, 492/351 is 325540.