Least Common Multiple of 59/377, 96/403, 402/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/377, 96/403, 402/165 quickly i.e. 379488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/377, 96/403, 402/165 is 379488.

LCM(59/377, 96/403, 402/165) = 379488

LCM of 59/377, 96/403, 402/165

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 59/377,96/403,402/165

Given numbers are 59/377,96/403,402/165

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 59,96,402

Least Common Multiple of Numerators i.e. LCM of 59,96,402 is 379488.

GCF of Denominators means GCF of 377,403,165 as per the given fractions.

GCF of 377,403,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,96,402

LCM of Fractions 59/377,96/403,402/165 is 379488

2 59, 96, 402
3 59, 48, 201
59, 16, 67

∴ So the LCM of the given numbers is 2 x 3 x 59 x 16 x 67 = 379488

Least Common Multiple of 59,96,402 with GCF Formula

Least Common Multiple of 59,96,402 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 59,96,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,96,402) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(59,96,402) x common factors =1 x 6 = 6

LCM(59,96,402) = ( 59 × 96 × 402 ) / 6

LCM(59,96,402) = 2276928 / 6

LCM(59,96,402) = 379488


Lets's calculate GCF of 377,403,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379488/1

Therefore the LCM of Fractions 59/377,96/403,402/165 is 379488

Greatest Common Factor of 377,403,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,403,165 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 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 377,403,165 . The biggest common factor number is the GCF number.
So the greatest common factor 377,403,165 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 59/377, 96/403, 402/165

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 59/377, 96/403, 402/165?

Answer: LCM of Numerators as per given numbers 59/377, 96/403, 402/165 is

LCM of Numerators i.e. for 59,96,402 is 379488

GCF of denominators i.e. for 377,403,165 is 1.

Thus, LCM of Fractions is 379488.Finally, LCM of Fractions for 59/377, 96/403, 402/165 is 379488.