Least Common Multiple of 72/70, 78/552, 332/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/70, 78/552, 332/427 quickly i.e. 77688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/70, 78/552, 332/427 is 77688.

LCM(72/70, 78/552, 332/427) = 77688

LCM of 72/70, 78/552, 332/427

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 72/70,78/552,332/427

Given numbers are 72/70,78/552,332/427

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 72,78,332

Least Common Multiple of Numerators i.e. LCM of 72,78,332 is 77688.

GCF of Denominators means GCF of 70,552,427 as per the given fractions.

GCF of 70,552,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,78,332

LCM of Fractions 72/70,78/552,332/427 is 77688

2 72, 78, 332
2 36, 39, 166
3 18, 39, 83
6, 13, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 13 x 83 = 77688

Least Common Multiple of 72,78,332 with GCF Formula

Least Common Multiple of 72,78,332 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 72,78,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,78,332) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(72,78,332) x common factors =2 x 12 = 24

LCM(72,78,332) = ( 72 × 78 × 332 ) / 24

LCM(72,78,332) = 1864512 / 24

LCM(72,78,332) = 77688


Lets's calculate GCF of 70,552,427

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77688/1

Therefore the LCM of Fractions 72/70,78/552,332/427 is 77688

Greatest Common Factor of 70,552,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,552,427 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 70,552,427 . The biggest common factor number is the GCF number.
So the greatest common factor 70,552,427 is 1.


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 72/70, 78/552, 332/427

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 72/70, 78/552, 332/427?

Answer: LCM of Numerators as per given numbers 72/70, 78/552, 332/427 is

LCM of Numerators i.e. for 72,78,332 is 77688

GCF of denominators i.e. for 70,552,427 is 1.

Thus, LCM of Fractions is 77688.Finally, LCM of Fractions for 72/70, 78/552, 332/427 is 77688.