Least Common Multiple of 54/684, 76/510, 741/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/684, 76/510, 741/624 quickly i.e. 4446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/684, 76/510, 741/624 is 4446.

LCM(54/684, 76/510, 741/624) = 4446

LCM of 54/684, 76/510, 741/624

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 54/684,76/510,741/624

Given numbers are 54/684,76/510,741/624

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 54,76,741

Least Common Multiple of Numerators i.e. LCM of 54,76,741 is 26676.

GCF of Denominators means GCF of 684,510,624 as per the given fractions.

GCF of 684,510,624 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,76,741

LCM of Fractions 54/684,76/510,741/624 is 4446

2 54, 76, 741
3 27, 38, 741
19 9, 38, 247
9, 2, 13

∴ So the LCM of the given numbers is 2 x 3 x 19 x 9 x 2 x 13 = 26676

Least Common Multiple of 54,76,741 with GCF Formula

Least Common Multiple of 54,76,741 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 54,76,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,76,741) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(54,76,741) x common factors =1 x 114 = 114

LCM(54,76,741) = ( 54 × 76 × 741 ) / 114

LCM(54,76,741) = 3041064 / 114

LCM(54,76,741) = 26676


Lets's calculate GCF of 684,510,624

2 684, 510, 624
3 342, 255, 312
114, 85, 104

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26676/6

Therefore the LCM of Fractions 54/684,76/510,741/624 is 4446

Greatest Common Factor of 684,510,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,510,624 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 684,510,624 . The biggest common factor number is the GCF number.
So the greatest common factor 684,510,624 is 6.


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 54/684, 76/510, 741/624

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 54/684, 76/510, 741/624?

Answer: LCM of Numerators as per given numbers 54/684, 76/510, 741/624 is

LCM of Numerators i.e. for 54,76,741 is 26676

GCF of denominators i.e. for 684,510,624 is 6.

Thus, LCM of Fractions is 4446.Finally, LCM of Fractions for 54/684, 76/510, 741/624 is 4446.