Least Common Multiple of 10/422, 445/864, 708/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/422, 445/864, 708/392 quickly i.e. 157530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/422, 445/864, 708/392 is 157530.

LCM(10/422, 445/864, 708/392) = 157530

LCM of 10/422, 445/864, 708/392

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 10/422,445/864,708/392

Given numbers are 10/422,445/864,708/392

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 10,445,708

Least Common Multiple of Numerators i.e. LCM of 10,445,708 is 315060.

GCF of Denominators means GCF of 422,864,392 as per the given fractions.

GCF of 422,864,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,445,708

LCM of Fractions 10/422,445/864,708/392 is 157530

2 10, 445, 708
5 5, 445, 354
1, 89, 354

∴ So the LCM of the given numbers is 2 x 5 x 1 x 89 x 354 = 315060

Least Common Multiple of 10,445,708 with GCF Formula

Least Common Multiple of 10,445,708 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 10,445,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,445,708) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,445,708) x common factors =1 x 10 = 10

LCM(10,445,708) = ( 10 × 445 × 708 ) / 10

LCM(10,445,708) = 3150600 / 10

LCM(10,445,708) = 315060


Lets's calculate GCF of 422,864,392

2 422, 864, 392
211, 432, 196

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315060/2

Therefore the LCM of Fractions 10/422,445/864,708/392 is 157530

Greatest Common Factor of 422,864,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,864,392 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 422,864,392 . The biggest common factor number is the GCF number.
So the greatest common factor 422,864,392 is 2.


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 10/422, 445/864, 708/392

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 10/422, 445/864, 708/392?

Answer: LCM of Numerators as per given numbers 10/422, 445/864, 708/392 is

LCM of Numerators i.e. for 10,445,708 is 315060

GCF of denominators i.e. for 422,864,392 is 2.

Thus, LCM of Fractions is 157530.Finally, LCM of Fractions for 10/422, 445/864, 708/392 is 157530.