Least Common Multiple of 72/86, 54/700, 976/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/86, 54/700, 976/384 quickly i.e. 13176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/86, 54/700, 976/384 is 13176.

LCM(72/86, 54/700, 976/384) = 13176

LCM of 72/86, 54/700, 976/384

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 72/86,54/700,976/384

Given numbers are 72/86,54/700,976/384

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 72,54,976

Least Common Multiple of Numerators i.e. LCM of 72,54,976 is 26352.

GCF of Denominators means GCF of 86,700,384 as per the given fractions.

GCF of 86,700,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,54,976

LCM of Fractions 72/86,54/700,976/384 is 13176

2 72, 54, 976
2 36, 27, 488
2 18, 27, 244
3 9, 27, 122
3 3, 9, 122
1, 3, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 3 x 122 = 26352

Least Common Multiple of 72,54,976 with GCF Formula

Least Common Multiple of 72,54,976 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 72,54,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,54,976) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(72,54,976) x common factors =2 x 72 = 144

LCM(72,54,976) = ( 72 × 54 × 976 ) / 144

LCM(72,54,976) = 3794688 / 144

LCM(72,54,976) = 26352


Lets's calculate GCF of 86,700,384

2 86, 700, 384
43, 350, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26352/2

Therefore the LCM of Fractions 72/86,54/700,976/384 is 13176

Greatest Common Factor of 86,700,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,700,384 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 86,700,384 . The biggest common factor number is the GCF number.
So the greatest common factor 86,700,384 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 72/86, 54/700, 976/384

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 72/86, 54/700, 976/384?

Answer: LCM of Numerators as per given numbers 72/86, 54/700, 976/384 is

LCM of Numerators i.e. for 72,54,976 is 26352

GCF of denominators i.e. for 86,700,384 is 2.

Thus, LCM of Fractions is 13176.Finally, LCM of Fractions for 72/86, 54/700, 976/384 is 13176.