Least Common Multiple of 377/408, 658/192, 736/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/408, 658/192, 736/870 quickly i.e. 91288288/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/408, 658/192, 736/870 is 91288288/6.

LCM(377/408, 658/192, 736/870) = 91288288/6

LCM of 377/408, 658/192, 736/870

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 377/408,658/192,736/870

Given numbers are 377/408,658/192,736/870

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 377,658,736

Least Common Multiple of Numerators i.e. LCM of 377,658,736 is 91288288.

GCF of Denominators means GCF of 408,192,870 as per the given fractions.

GCF of 408,192,870 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,658,736

LCM of Fractions 377/408,658/192,736/870 is 91288288/6

2 377, 658, 736
377, 329, 368

∴ So the LCM of the given numbers is 2 x 377 x 329 x 368 = 91288288

Least Common Multiple of 377,658,736 with GCF Formula

Least Common Multiple of 377,658,736 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 377,658,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,658,736) = 1

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

GCF(377,658,736) x common factors =1 x 2 = 2

LCM(377,658,736) = ( 377 × 658 × 736 ) / 2

LCM(377,658,736) = 182576576 / 2

LCM(377,658,736) = 91288288


Lets's calculate GCF of 408,192,870

2 408, 192, 870
3 204, 96, 435
68, 32, 145

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91288288/6

Therefore the LCM of Fractions 377/408,658/192,736/870 is 91288288/6

Greatest Common Factor of 408,192,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,192,870 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 408,192,870 . The biggest common factor number is the GCF number.
So the greatest common factor 408,192,870 is 6.


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 377/408, 658/192, 736/870

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 377/408, 658/192, 736/870?

Answer: LCM of Numerators as per given numbers 377/408, 658/192, 736/870 is

LCM of Numerators i.e. for 377,658,736 is 91288288

GCF of denominators i.e. for 408,192,870 is 6.

Thus, LCM of Fractions is 91288288/6.Finally, LCM of Fractions for 377/408, 658/192, 736/870 is 91288288/6.