Least Common Multiple of 75/754, 84/566, 518/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/754, 84/566, 518/546 quickly i.e. 38850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/754, 84/566, 518/546 is 38850.

LCM(75/754, 84/566, 518/546) = 38850

LCM of 75/754, 84/566, 518/546

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 75/754,84/566,518/546

Given numbers are 75/754,84/566,518/546

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 75,84,518

Least Common Multiple of Numerators i.e. LCM of 75,84,518 is 77700.

GCF of Denominators means GCF of 754,566,546 as per the given fractions.

GCF of 754,566,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,84,518

LCM of Fractions 75/754,84/566,518/546 is 38850

2 75, 84, 518
3 75, 42, 259
7 25, 14, 259
25, 2, 37

∴ So the LCM of the given numbers is 2 x 3 x 7 x 25 x 2 x 37 = 77700

Least Common Multiple of 75,84,518 with GCF Formula

Least Common Multiple of 75,84,518 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 75,84,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,84,518) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(75,84,518) x common factors =1 x 42 = 42

LCM(75,84,518) = ( 75 × 84 × 518 ) / 42

LCM(75,84,518) = 3263400 / 42

LCM(75,84,518) = 77700


Lets's calculate GCF of 754,566,546

2 754, 566, 546
377, 283, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77700/2

Therefore the LCM of Fractions 75/754,84/566,518/546 is 38850

Greatest Common Factor of 754,566,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,566,546 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 754,566,546 . The biggest common factor number is the GCF number.
So the greatest common factor 754,566,546 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 75/754, 84/566, 518/546

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 75/754, 84/566, 518/546?

Answer: LCM of Numerators as per given numbers 75/754, 84/566, 518/546 is

LCM of Numerators i.e. for 75,84,518 is 77700

GCF of denominators i.e. for 754,566,546 is 2.

Thus, LCM of Fractions is 38850.Finally, LCM of Fractions for 75/754, 84/566, 518/546 is 38850.