Least Common Multiple of 893/39, 568/10, 548/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 893/39, 568/10, 548/252 quickly i.e. 69489688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/39, 568/10, 548/252 is 69489688.

LCM(893/39, 568/10, 548/252) = 69489688

LCM of 893/39, 568/10, 548/252

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 893/39,568/10,548/252

Given numbers are 893/39,568/10,548/252

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 893,568,548

Least Common Multiple of Numerators i.e. LCM of 893,568,548 is 69489688.

GCF of Denominators means GCF of 39,10,252 as per the given fractions.

GCF of 39,10,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,568,548

LCM of Fractions 893/39,568/10,548/252 is 69489688

2 893, 568, 548
2 893, 284, 274
893, 142, 137

∴ So the LCM of the given numbers is 2 x 2 x 893 x 142 x 137 = 69489688

Least Common Multiple of 893,568,548 with GCF Formula

Least Common Multiple of 893,568,548 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 893,568,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,568,548) = 1

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

GCF(893,568,548) x common factors =1 x 4 = 4

LCM(893,568,548) = ( 893 × 568 × 548 ) / 4

LCM(893,568,548) = 277958752 / 4

LCM(893,568,548) = 69489688


Lets's calculate GCF of 39,10,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69489688/1

Therefore the LCM of Fractions 893/39,568/10,548/252 is 69489688

Greatest Common Factor of 39,10,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,10,252 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 39,10,252 . The biggest common factor number is the GCF number.
So the greatest common factor 39,10,252 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 893/39, 568/10, 548/252

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 893/39, 568/10, 548/252?

Answer: LCM of Numerators as per given numbers 893/39, 568/10, 548/252 is

LCM of Numerators i.e. for 893,568,548 is 69489688

GCF of denominators i.e. for 39,10,252 is 1.

Thus, LCM of Fractions is 69489688.Finally, LCM of Fractions for 893/39, 568/10, 548/252 is 69489688.