Least Common Multiple of 658/42, 798/32, 246/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/42, 798/32, 246/912 quickly i.e. 768873 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/42, 798/32, 246/912 is 768873.

LCM(658/42, 798/32, 246/912) = 768873

LCM of 658/42, 798/32, 246/912

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 658/42,798/32,246/912

Given numbers are 658/42,798/32,246/912

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 658,798,246

Least Common Multiple of Numerators i.e. LCM of 658,798,246 is 1537746.

GCF of Denominators means GCF of 42,32,912 as per the given fractions.

GCF of 42,32,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,798,246

LCM of Fractions 658/42,798/32,246/912 is 768873

2 658, 798, 246
3 329, 399, 123
7 329, 133, 41
47, 19, 41

∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 19 x 41 = 1537746

Least Common Multiple of 658,798,246 with GCF Formula

Least Common Multiple of 658,798,246 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 658,798,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,798,246) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(658,798,246) x common factors =2 x 42 = 84

LCM(658,798,246) = ( 658 × 798 × 246 ) / 84

LCM(658,798,246) = 129170664 / 84

LCM(658,798,246) = 1537746


Lets's calculate GCF of 42,32,912

2 42, 32, 912
21, 16, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1537746/2

Therefore the LCM of Fractions 658/42,798/32,246/912 is 768873

Greatest Common Factor of 42,32,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,32,912 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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

Greatest Common Factor

We found the factors 42,32,912 . The biggest common factor number is the GCF number.
So the greatest common factor 42,32,912 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 658/42, 798/32, 246/912

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 658/42, 798/32, 246/912?

Answer: LCM of Numerators as per given numbers 658/42, 798/32, 246/912 is

LCM of Numerators i.e. for 658,798,246 is 1537746

GCF of denominators i.e. for 42,32,912 is 2.

Thus, LCM of Fractions is 768873.Finally, LCM of Fractions for 658/42, 798/32, 246/912 is 768873.