Least Common Multiple of 55/152, 13/804, 929/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/152, 13/804, 929/538 quickly i.e. 664235/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/152, 13/804, 929/538 is 664235/2.

LCM(55/152, 13/804, 929/538) = 664235/2

LCM of 55/152, 13/804, 929/538

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 55/152,13/804,929/538

Given numbers are 55/152,13/804,929/538

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 55,13,929

Least Common Multiple of Numerators i.e. LCM of 55,13,929 is 664235.

GCF of Denominators means GCF of 152,804,538 as per the given fractions.

GCF of 152,804,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,13,929

LCM of Fractions 55/152,13/804,929/538 is 664235/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 664235

Least Common Multiple of 55,13,929 with GCF Formula

Least Common Multiple of 55,13,929 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 55,13,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,13,929) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,13,929) x common factors =1 x 1 = 1

LCM(55,13,929) = ( 55 × 13 × 929 ) / 1

LCM(55,13,929) = 664235 / 1

LCM(55,13,929) = 664235


Lets's calculate GCF of 152,804,538

2 152, 804, 538
76, 402, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664235/2

Therefore the LCM of Fractions 55/152,13/804,929/538 is 664235/2

Greatest Common Factor of 152,804,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,804,538 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 152,804,538 . The biggest common factor number is the GCF number.
So the greatest common factor 152,804,538 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/152, 13/804, 929/538

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 55/152, 13/804, 929/538?

Answer: LCM of Numerators as per given numbers 55/152, 13/804, 929/538 is

LCM of Numerators i.e. for 55,13,929 is 664235

GCF of denominators i.e. for 152,804,538 is 2.

Thus, LCM of Fractions is 664235/2.Finally, LCM of Fractions for 55/152, 13/804, 929/538 is 664235/2.