Least Common Multiple of 398/325, 799/148, 956/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 398/325, 799/148, 956/736 quickly i.e. 152004956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/325, 799/148, 956/736 is 152004956.

LCM(398/325, 799/148, 956/736) = 152004956

LCM of 398/325, 799/148, 956/736

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 398/325,799/148,956/736

Given numbers are 398/325,799/148,956/736

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 398,799,956

Least Common Multiple of Numerators i.e. LCM of 398,799,956 is 152004956.

GCF of Denominators means GCF of 325,148,736 as per the given fractions.

GCF of 325,148,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,799,956

LCM of Fractions 398/325,799/148,956/736 is 152004956

2 398, 799, 956
199, 799, 478

∴ So the LCM of the given numbers is 2 x 199 x 799 x 478 = 152004956

Least Common Multiple of 398,799,956 with GCF Formula

Least Common Multiple of 398,799,956 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 398,799,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,799,956) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(398,799,956) x common factors =1 x 2 = 2

LCM(398,799,956) = ( 398 × 799 × 956 ) / 2

LCM(398,799,956) = 304009912 / 2

LCM(398,799,956) = 152004956


Lets's calculate GCF of 325,148,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152004956/1

Therefore the LCM of Fractions 398/325,799/148,956/736 is 152004956

Greatest Common Factor of 325,148,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,148,736 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 325,148,736 . The biggest common factor number is the GCF number.
So the greatest common factor 325,148,736 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 398/325, 799/148, 956/736

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 398/325, 799/148, 956/736?

Answer: LCM of Numerators as per given numbers 398/325, 799/148, 956/736 is

LCM of Numerators i.e. for 398,799,956 is 152004956

GCF of denominators i.e. for 325,148,736 is 1.

Thus, LCM of Fractions is 152004956.Finally, LCM of Fractions for 398/325, 799/148, 956/736 is 152004956.