Least Common Multiple of 51/75, 912/54, 704/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/75, 912/54, 704/987 quickly i.e. 227392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/75, 912/54, 704/987 is 227392.

LCM(51/75, 912/54, 704/987) = 227392

LCM of 51/75, 912/54, 704/987

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 51/75,912/54,704/987

Given numbers are 51/75,912/54,704/987

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 51,912,704

Least Common Multiple of Numerators i.e. LCM of 51,912,704 is 682176.

GCF of Denominators means GCF of 75,54,987 as per the given fractions.

GCF of 75,54,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,912,704

LCM of Fractions 51/75,912/54,704/987 is 227392

2 51, 912, 704
2 51, 456, 352
2 51, 228, 176
2 51, 114, 88
3 51, 57, 44
17, 19, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 19 x 44 = 682176

Least Common Multiple of 51,912,704 with GCF Formula

Least Common Multiple of 51,912,704 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 51,912,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,912,704) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(51,912,704) x common factors =1 x 48 = 48

LCM(51,912,704) = ( 51 × 912 × 704 ) / 48

LCM(51,912,704) = 32744448 / 48

LCM(51,912,704) = 682176


Lets's calculate GCF of 75,54,987

3 75, 54, 987
25, 18, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682176/3

Therefore the LCM of Fractions 51/75,912/54,704/987 is 227392

Greatest Common Factor of 75,54,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,54,987 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 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 75,54,987 . The biggest common factor number is the GCF number.
So the greatest common factor 75,54,987 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 51/75, 912/54, 704/987

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 51/75, 912/54, 704/987?

Answer: LCM of Numerators as per given numbers 51/75, 912/54, 704/987 is

LCM of Numerators i.e. for 51,912,704 is 682176

GCF of denominators i.e. for 75,54,987 is 3.

Thus, LCM of Fractions is 227392.Finally, LCM of Fractions for 51/75, 912/54, 704/987 is 227392.