Least Common Multiple of 712/842, 934/856, 634/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/842, 934/856, 634/519 quickly i.e. 105403768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/842, 934/856, 634/519 is 105403768.

LCM(712/842, 934/856, 634/519) = 105403768

LCM of 712/842, 934/856, 634/519

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 712/842,934/856,634/519

Given numbers are 712/842,934/856,634/519

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 712,934,634

Least Common Multiple of Numerators i.e. LCM of 712,934,634 is 105403768.

GCF of Denominators means GCF of 842,856,519 as per the given fractions.

GCF of 842,856,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,934,634

LCM of Fractions 712/842,934/856,634/519 is 105403768

2 712, 934, 634
356, 467, 317

∴ So the LCM of the given numbers is 2 x 356 x 467 x 317 = 105403768

Least Common Multiple of 712,934,634 with GCF Formula

Least Common Multiple of 712,934,634 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 712,934,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,934,634) = 2

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

GCF(712,934,634) x common factors =2 x 2 = 4

LCM(712,934,634) = ( 712 × 934 × 634 ) / 4

LCM(712,934,634) = 421615072 / 4

LCM(712,934,634) = 105403768


Lets's calculate GCF of 842,856,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105403768/1

Therefore the LCM of Fractions 712/842,934/856,634/519 is 105403768

Greatest Common Factor of 842,856,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,856,519 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 842,856,519 . The biggest common factor number is the GCF number.
So the greatest common factor 842,856,519 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 712/842, 934/856, 634/519

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 712/842, 934/856, 634/519?

Answer: LCM of Numerators as per given numbers 712/842, 934/856, 634/519 is

LCM of Numerators i.e. for 712,934,634 is 105403768

GCF of denominators i.e. for 842,856,519 is 1.

Thus, LCM of Fractions is 105403768.Finally, LCM of Fractions for 712/842, 934/856, 634/519 is 105403768.