Least Common Multiple of 238/398, 785/912, 337/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/398, 785/912, 337/972 quickly i.e. 31480855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/398, 785/912, 337/972 is 31480855.

LCM(238/398, 785/912, 337/972) = 31480855

LCM of 238/398, 785/912, 337/972

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 238/398,785/912,337/972

Given numbers are 238/398,785/912,337/972

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 238,785,337

Least Common Multiple of Numerators i.e. LCM of 238,785,337 is 62961710.

GCF of Denominators means GCF of 398,912,972 as per the given fractions.

GCF of 398,912,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,785,337

LCM of Fractions 238/398,785/912,337/972 is 31480855

Given numbers has no common factors except 1. So, there LCM is their product i.e 62961710

Least Common Multiple of 238,785,337 with GCF Formula

Least Common Multiple of 238,785,337 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 238,785,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,785,337) = 1

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

GCF(238,785,337) x common factors =1 x 1 = 1

LCM(238,785,337) = ( 238 × 785 × 337 ) / 1

LCM(238,785,337) = 62961710 / 1

LCM(238,785,337) = 62961710


Lets's calculate GCF of 398,912,972

2 398, 912, 972
199, 456, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62961710/2

Therefore the LCM of Fractions 238/398,785/912,337/972 is 31480855

Greatest Common Factor of 398,912,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,912,972 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 398,912,972 . The biggest common factor number is the GCF number.
So the greatest common factor 398,912,972 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 238/398, 785/912, 337/972

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 238/398, 785/912, 337/972?

Answer: LCM of Numerators as per given numbers 238/398, 785/912, 337/972 is

LCM of Numerators i.e. for 238,785,337 is 62961710

GCF of denominators i.e. for 398,912,972 is 2.

Thus, LCM of Fractions is 31480855.Finally, LCM of Fractions for 238/398, 785/912, 337/972 is 31480855.