Least Common Multiple of 4/55, 36/646, 72/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/55, 36/646, 72/673 quickly i.e. 72 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/55, 36/646, 72/673 is 72.

LCM(4/55, 36/646, 72/673) = 72

LCM of 4/55, 36/646, 72/673

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 4/55,36/646,72/673

Given numbers are 4/55,36/646,72/673

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 4,36,72

Least Common Multiple of Numerators i.e. LCM of 4,36,72 is 72.

GCF of Denominators means GCF of 55,646,673 as per the given fractions.

GCF of 55,646,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,36,72

LCM of Fractions 4/55,36/646,72/673 is 72

2 4, 36, 72
2 2, 18, 36
3 1, 9, 18
3 1, 3, 6
1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 2 = 72

Least Common Multiple of 4,36,72 with GCF Formula

Least Common Multiple of 4,36,72 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 4,36,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,36,72) = 4

common factors(in case of two or more numbers have common factors) = 36

GCF(4,36,72) x common factors =4 x 36 = 144

LCM(4,36,72) = ( 4 × 36 × 72 ) / 144

LCM(4,36,72) = 10368 / 144

LCM(4,36,72) = 72


Lets's calculate GCF of 55,646,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72/1

Therefore the LCM of Fractions 4/55,36/646,72/673 is 72

Greatest Common Factor of 55,646,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,646,673 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 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 55,646,673 . The biggest common factor number is the GCF number.
So the greatest common factor 55,646,673 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4/55, 36/646, 72/673

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 4/55, 36/646, 72/673?

Answer: LCM of Numerators as per given numbers 4/55, 36/646, 72/673 is

LCM of Numerators i.e. for 4,36,72 is 72

GCF of denominators i.e. for 55,646,673 is 1.

Thus, LCM of Fractions is 72.Finally, LCM of Fractions for 4/55, 36/646, 72/673 is 72.