Least Common Multiple of 706/572, 3382/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/572, 3382/656 quickly i.e. 1193846/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/572, 3382/656 is 1193846/4.

LCM(706/572, 3382/656) = 1193846/4

LCM of 706/572, 3382/656

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 706/572,3382/656

Given numbers are 706/572,3382/656

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 706,3382

Least Common Multiple of Numerators i.e. LCM of 706,3382 is 1193846.

GCF of Denominators means GCF of 572,656 as per the given fractions.

GCF of 572,656 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,3382

LCM of Fractions 706/572,3382/656 is 1193846/4

2 706, 3382
353, 1691

∴ So the LCM of the given numbers is 2 x 353 x 1691 = 1193846

Least Common Multiple of 706,3382 with GCF Formula

Least Common Multiple of 706,3382 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 706,3382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,3382) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(706,3382) x common factors =2 x 1 = 2

LCM(706,3382) = ( 706 × 3382 ) / 2

LCM(706,3382) = 2387692 / 2

LCM(706,3382) = 1193846


Lets's calculate GCF of 572,656

2 572, 656
2 286, 328
143, 164

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1193846/4

Therefore the LCM of Fractions 706/572,3382/656 is 1193846/4

Greatest Common Factor of 572,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,656 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 572,656 . The biggest common factor number is the GCF number.
So the greatest common factor 572,656 is 4.


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 706/572, 3382/656

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 706/572, 3382/656?

Answer: LCM of Numerators as per given numbers 706/572, 3382/656 is

LCM of Numerators i.e. for 706,3382 is 1193846

GCF of denominators i.e. for 572,656 is 4.

Thus, LCM of Fractions is 1193846/4.Finally, LCM of Fractions for 706/572, 3382/656 is 1193846/4.