Least Common Multiple of 48/681, 25/111, 200/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/681, 25/111, 200/507 quickly i.e. 400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/681, 25/111, 200/507 is 400.

LCM(48/681, 25/111, 200/507) = 400

LCM of 48/681, 25/111, 200/507

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 48/681,25/111,200/507

Given numbers are 48/681,25/111,200/507

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 48,25,200

Least Common Multiple of Numerators i.e. LCM of 48,25,200 is 1200.

GCF of Denominators means GCF of 681,111,507 as per the given fractions.

GCF of 681,111,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,25,200

LCM of Fractions 48/681,25/111,200/507 is 400

2 48, 25, 200
2 24, 25, 100
2 12, 25, 50
5 6, 25, 25
5 6, 5, 5
6, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 6 x 1 x 1 = 1200

Least Common Multiple of 48,25,200 with GCF Formula

Least Common Multiple of 48,25,200 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 48,25,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,25,200) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(48,25,200) x common factors =1 x 200 = 200

LCM(48,25,200) = ( 48 × 25 × 200 ) / 200

LCM(48,25,200) = 240000 / 200

LCM(48,25,200) = 1200


Lets's calculate GCF of 681,111,507

3 681, 111, 507
227, 37, 169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200/3

Therefore the LCM of Fractions 48/681,25/111,200/507 is 400

Greatest Common Factor of 681,111,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,111,507 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 681,111,507 . The biggest common factor number is the GCF number.
So the greatest common factor 681,111,507 is 3.


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 48/681, 25/111, 200/507

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 48/681, 25/111, 200/507?

Answer: LCM of Numerators as per given numbers 48/681, 25/111, 200/507 is

LCM of Numerators i.e. for 48,25,200 is 1200

GCF of denominators i.e. for 681,111,507 is 3.

Thus, LCM of Fractions is 400.Finally, LCM of Fractions for 48/681, 25/111, 200/507 is 400.