Least Common Multiple of 688/54, 852/38, 562/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/54, 852/38, 562/884 quickly i.e. 20589432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/54, 852/38, 562/884 is 20589432.

LCM(688/54, 852/38, 562/884) = 20589432

LCM of 688/54, 852/38, 562/884

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 688/54,852/38,562/884

Given numbers are 688/54,852/38,562/884

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 688,852,562

Least Common Multiple of Numerators i.e. LCM of 688,852,562 is 41178864.

GCF of Denominators means GCF of 54,38,884 as per the given fractions.

GCF of 54,38,884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,852,562

LCM of Fractions 688/54,852/38,562/884 is 20589432

2 688, 852, 562
2 344, 426, 281
172, 213, 281

∴ So the LCM of the given numbers is 2 x 2 x 172 x 213 x 281 = 41178864

Least Common Multiple of 688,852,562 with GCF Formula

Least Common Multiple of 688,852,562 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 688,852,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,852,562) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(688,852,562) x common factors =2 x 4 = 8

LCM(688,852,562) = ( 688 × 852 × 562 ) / 8

LCM(688,852,562) = 329430912 / 8

LCM(688,852,562) = 41178864


Lets's calculate GCF of 54,38,884

2 54, 38, 884
27, 19, 442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41178864/2

Therefore the LCM of Fractions 688/54,852/38,562/884 is 20589432

Greatest Common Factor of 54,38,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,38,884 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 54,38,884 . The biggest common factor number is the GCF number.
So the greatest common factor 54,38,884 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 688/54, 852/38, 562/884

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 688/54, 852/38, 562/884?

Answer: LCM of Numerators as per given numbers 688/54, 852/38, 562/884 is

LCM of Numerators i.e. for 688,852,562 is 41178864

GCF of denominators i.e. for 54,38,884 is 2.

Thus, LCM of Fractions is 20589432.Finally, LCM of Fractions for 688/54, 852/38, 562/884 is 20589432.