Least Common Multiple of 842/601, 377/576, 678/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/601, 377/576, 678/603 quickly i.e. 107610126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/601, 377/576, 678/603 is 107610126.

LCM(842/601, 377/576, 678/603) = 107610126

LCM of 842/601, 377/576, 678/603

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 842/601,377/576,678/603

Given numbers are 842/601,377/576,678/603

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 842,377,678

Least Common Multiple of Numerators i.e. LCM of 842,377,678 is 107610126.

GCF of Denominators means GCF of 601,576,603 as per the given fractions.

GCF of 601,576,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,377,678

LCM of Fractions 842/601,377/576,678/603 is 107610126

2 842, 377, 678
421, 377, 339

∴ So the LCM of the given numbers is 2 x 421 x 377 x 339 = 107610126

Least Common Multiple of 842,377,678 with GCF Formula

Least Common Multiple of 842,377,678 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 842,377,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,377,678) = 1

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

GCF(842,377,678) x common factors =1 x 2 = 2

LCM(842,377,678) = ( 842 × 377 × 678 ) / 2

LCM(842,377,678) = 215220252 / 2

LCM(842,377,678) = 107610126


Lets's calculate GCF of 601,576,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107610126/1

Therefore the LCM of Fractions 842/601,377/576,678/603 is 107610126

Greatest Common Factor of 601,576,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,576,603 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 601,576,603 . The biggest common factor number is the GCF number.
So the greatest common factor 601,576,603 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 842/601, 377/576, 678/603

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 842/601, 377/576, 678/603?

Answer: LCM of Numerators as per given numbers 842/601, 377/576, 678/603 is

LCM of Numerators i.e. for 842,377,678 is 107610126

GCF of denominators i.e. for 601,576,603 is 1.

Thus, LCM of Fractions is 107610126.Finally, LCM of Fractions for 842/601, 377/576, 678/603 is 107610126.