Least Common Multiple of 904/38, 646/6982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/38, 646/6982 quickly i.e. 145996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/38, 646/6982 is 145996.

LCM(904/38, 646/6982) = 145996

LCM of 904/38, 646/6982

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 904/38,646/6982

Given numbers are 904/38,646/6982

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 904,646

Least Common Multiple of Numerators i.e. LCM of 904,646 is 291992.

GCF of Denominators means GCF of 38,6982 as per the given fractions.

GCF of 38,6982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,646

LCM of Fractions 904/38,646/6982 is 145996

2 904, 646
452, 323

∴ So the LCM of the given numbers is 2 x 452 x 323 = 291992

Least Common Multiple of 904,646 with GCF Formula

Least Common Multiple of 904,646 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 904,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,646) = 2

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

GCF(904,646) x common factors =2 x 1 = 2

LCM(904,646) = ( 904 × 646 ) / 2

LCM(904,646) = 583984 / 2

LCM(904,646) = 291992


Lets's calculate GCF of 38,6982

2 38, 6982
19, 3491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291992/2

Therefore the LCM of Fractions 904/38,646/6982 is 145996

Greatest Common Factor of 38,6982 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,6982 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1,2,3491,6982

Greatest Common Factor

We found the factors 38,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 38,6982 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 904/38, 646/6982

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 904/38, 646/6982?

Answer: LCM of Numerators as per given numbers 904/38, 646/6982 is

LCM of Numerators i.e. for 904,646 is 291992

GCF of denominators i.e. for 38,6982 is 2.

Thus, LCM of Fractions is 145996.Finally, LCM of Fractions for 904/38, 646/6982 is 145996.