Least Common Multiple of 72/55, 555/54, 712/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/55, 555/54, 712/973 quickly i.e. 1185480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/55, 555/54, 712/973 is 1185480.

LCM(72/55, 555/54, 712/973) = 1185480

LCM of 72/55, 555/54, 712/973

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 72/55,555/54,712/973

Given numbers are 72/55,555/54,712/973

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 72,555,712

Least Common Multiple of Numerators i.e. LCM of 72,555,712 is 1185480.

GCF of Denominators means GCF of 55,54,973 as per the given fractions.

GCF of 55,54,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,555,712

LCM of Fractions 72/55,555/54,712/973 is 1185480

2 72, 555, 712
2 36, 555, 356
2 18, 555, 178
3 9, 555, 89
3, 185, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 185 x 89 = 1185480

Least Common Multiple of 72,555,712 with GCF Formula

Least Common Multiple of 72,555,712 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 72,555,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,555,712) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,555,712) x common factors =1 x 24 = 24

LCM(72,555,712) = ( 72 × 555 × 712 ) / 24

LCM(72,555,712) = 28451520 / 24

LCM(72,555,712) = 1185480


Lets's calculate GCF of 55,54,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1185480/1

Therefore the LCM of Fractions 72/55,555/54,712/973 is 1185480

Greatest Common Factor of 55,54,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,54,973 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

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 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 55,54,973 . The biggest common factor number is the GCF number.
So the greatest common factor 55,54,973 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/55, 555/54, 712/973

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 72/55, 555/54, 712/973?

Answer: LCM of Numerators as per given numbers 72/55, 555/54, 712/973 is

LCM of Numerators i.e. for 72,555,712 is 1185480

GCF of denominators i.e. for 55,54,973 is 1.

Thus, LCM of Fractions is 1185480.Finally, LCM of Fractions for 72/55, 555/54, 712/973 is 1185480.