Least Common Multiple of 1656/52, 5264/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1656/52, 5264/709 quickly i.e. 1089648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1656/52, 5264/709 is 1089648.

LCM(1656/52, 5264/709) = 1089648

LCM of 1656/52, 5264/709

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 1656/52,5264/709

Given numbers are 1656/52,5264/709

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 1656,5264

Least Common Multiple of Numerators i.e. LCM of 1656,5264 is 1089648.

GCF of Denominators means GCF of 52,709 as per the given fractions.

GCF of 52,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1656,5264

LCM of Fractions 1656/52,5264/709 is 1089648

2 1656, 5264
2 828, 2632
2 414, 1316
207, 658

∴ So the LCM of the given numbers is 2 x 2 x 2 x 207 x 658 = 1089648

Least Common Multiple of 1656,5264 with GCF Formula

Least Common Multiple of 1656,5264 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 1656,5264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1656,5264) = 8

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

GCF(1656,5264) x common factors =8 x 1 = 8

LCM(1656,5264) = ( 1656 × 5264 ) / 8

LCM(1656,5264) = 8717184 / 8

LCM(1656,5264) = 1089648


Lets's calculate GCF of 52,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1089648/1

Therefore the LCM of Fractions 1656/52,5264/709 is 1089648

Greatest Common Factor of 52,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,709 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 52,709 . The biggest common factor number is the GCF number.
So the greatest common factor 52,709 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 1656/52, 5264/709

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 1656/52, 5264/709?

Answer: LCM of Numerators as per given numbers 1656/52, 5264/709 is

LCM of Numerators i.e. for 1656,5264 is 1089648

GCF of denominators i.e. for 52,709 is 1.

Thus, LCM of Fractions is 1089648.Finally, LCM of Fractions for 1656/52, 5264/709 is 1089648.