Least Common Multiple of 55/48, 852/15, 400/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/48, 852/15, 400/987 quickly i.e. 312400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/48, 852/15, 400/987 is 312400.

LCM(55/48, 852/15, 400/987) = 312400

LCM of 55/48, 852/15, 400/987

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 55/48,852/15,400/987

Given numbers are 55/48,852/15,400/987

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 55,852,400

Least Common Multiple of Numerators i.e. LCM of 55,852,400 is 937200.

GCF of Denominators means GCF of 48,15,987 as per the given fractions.

GCF of 48,15,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,852,400

LCM of Fractions 55/48,852/15,400/987 is 312400

2 55, 852, 400
2 55, 426, 200
5 55, 213, 100
11, 213, 20

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 213 x 20 = 937200

Least Common Multiple of 55,852,400 with GCF Formula

Least Common Multiple of 55,852,400 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 55,852,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,852,400) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(55,852,400) x common factors =1 x 20 = 20

LCM(55,852,400) = ( 55 × 852 × 400 ) / 20

LCM(55,852,400) = 18744000 / 20

LCM(55,852,400) = 937200


Lets's calculate GCF of 48,15,987

3 48, 15, 987
16, 5, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 937200/3

Therefore the LCM of Fractions 55/48,852/15,400/987 is 312400

Greatest Common Factor of 48,15,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,15,987 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 48,15,987 . The biggest common factor number is the GCF number.
So the greatest common factor 48,15,987 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 55/48, 852/15, 400/987

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 55/48, 852/15, 400/987?

Answer: LCM of Numerators as per given numbers 55/48, 852/15, 400/987 is

LCM of Numerators i.e. for 55,852,400 is 937200

GCF of denominators i.e. for 48,15,987 is 3.

Thus, LCM of Fractions is 312400.Finally, LCM of Fractions for 55/48, 852/15, 400/987 is 312400.