Least Common Multiple of 554/308, 107/238, 721/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/308, 107/238, 721/152 quickly i.e. 21369719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/308, 107/238, 721/152 is 21369719.

LCM(554/308, 107/238, 721/152) = 21369719

LCM of 554/308, 107/238, 721/152

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 554/308,107/238,721/152

Given numbers are 554/308,107/238,721/152

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 554,107,721

Least Common Multiple of Numerators i.e. LCM of 554,107,721 is 42739438.

GCF of Denominators means GCF of 308,238,152 as per the given fractions.

GCF of 308,238,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,107,721

LCM of Fractions 554/308,107/238,721/152 is 21369719

Given numbers has no common factors except 1. So, there LCM is their product i.e 42739438

Least Common Multiple of 554,107,721 with GCF Formula

Least Common Multiple of 554,107,721 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 554,107,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,107,721) = 1

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

GCF(554,107,721) x common factors =1 x 1 = 1

LCM(554,107,721) = ( 554 × 107 × 721 ) / 1

LCM(554,107,721) = 42739438 / 1

LCM(554,107,721) = 42739438


Lets's calculate GCF of 308,238,152

2 308, 238, 152
154, 119, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42739438/2

Therefore the LCM of Fractions 554/308,107/238,721/152 is 21369719

Greatest Common Factor of 308,238,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,238,152 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 152

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

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

Greatest Common Factor

We found the factors 308,238,152 . The biggest common factor number is the GCF number.
So the greatest common factor 308,238,152 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 554/308, 107/238, 721/152

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 554/308, 107/238, 721/152?

Answer: LCM of Numerators as per given numbers 554/308, 107/238, 721/152 is

LCM of Numerators i.e. for 554,107,721 is 42739438

GCF of denominators i.e. for 308,238,152 is 2.

Thus, LCM of Fractions is 21369719.Finally, LCM of Fractions for 554/308, 107/238, 721/152 is 21369719.