Least Common Multiple of 40/377, 176/342, 366/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/377, 176/342, 366/895 quickly i.e. 161040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/377, 176/342, 366/895 is 161040.

LCM(40/377, 176/342, 366/895) = 161040

LCM of 40/377, 176/342, 366/895

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 40/377,176/342,366/895

Given numbers are 40/377,176/342,366/895

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 40,176,366

Least Common Multiple of Numerators i.e. LCM of 40,176,366 is 161040.

GCF of Denominators means GCF of 377,342,895 as per the given fractions.

GCF of 377,342,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,176,366

LCM of Fractions 40/377,176/342,366/895 is 161040

2 40, 176, 366
2 20, 88, 183
2 10, 44, 183
5, 22, 183

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 22 x 183 = 161040

Least Common Multiple of 40,176,366 with GCF Formula

Least Common Multiple of 40,176,366 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 40,176,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,176,366) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(40,176,366) x common factors =2 x 8 = 16

LCM(40,176,366) = ( 40 × 176 × 366 ) / 16

LCM(40,176,366) = 2576640 / 16

LCM(40,176,366) = 161040


Lets's calculate GCF of 377,342,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161040/1

Therefore the LCM of Fractions 40/377,176/342,366/895 is 161040

Greatest Common Factor of 377,342,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,342,895 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 377,342,895 . The biggest common factor number is the GCF number.
So the greatest common factor 377,342,895 is 1.


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 40/377, 176/342, 366/895

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 40/377, 176/342, 366/895?

Answer: LCM of Numerators as per given numbers 40/377, 176/342, 366/895 is

LCM of Numerators i.e. for 40,176,366 is 161040

GCF of denominators i.e. for 377,342,895 is 1.

Thus, LCM of Fractions is 161040.Finally, LCM of Fractions for 40/377, 176/342, 366/895 is 161040.