Least Common Multiple of 62/678, 596/149, 369/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/678, 596/149, 369/642 quickly i.e. 6817644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/678, 596/149, 369/642 is 6817644.

LCM(62/678, 596/149, 369/642) = 6817644

LCM of 62/678, 596/149, 369/642

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 62/678,596/149,369/642

Given numbers are 62/678,596/149,369/642

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 62,596,369

Least Common Multiple of Numerators i.e. LCM of 62,596,369 is 6817644.

GCF of Denominators means GCF of 678,149,642 as per the given fractions.

GCF of 678,149,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,596,369

LCM of Fractions 62/678,596/149,369/642 is 6817644

2 62, 596, 369
31, 298, 369

∴ So the LCM of the given numbers is 2 x 31 x 298 x 369 = 6817644

Least Common Multiple of 62,596,369 with GCF Formula

Least Common Multiple of 62,596,369 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 62,596,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,596,369) = 1

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

GCF(62,596,369) x common factors =1 x 2 = 2

LCM(62,596,369) = ( 62 × 596 × 369 ) / 2

LCM(62,596,369) = 13635288 / 2

LCM(62,596,369) = 6817644


Lets's calculate GCF of 678,149,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6817644/1

Therefore the LCM of Fractions 62/678,596/149,369/642 is 6817644

Greatest Common Factor of 678,149,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,149,642 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 678,149,642 . The biggest common factor number is the GCF number.
So the greatest common factor 678,149,642 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 62/678, 596/149, 369/642

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 62/678, 596/149, 369/642?

Answer: LCM of Numerators as per given numbers 62/678, 596/149, 369/642 is

LCM of Numerators i.e. for 62,596,369 is 6817644

GCF of denominators i.e. for 678,149,642 is 1.

Thus, LCM of Fractions is 6817644.Finally, LCM of Fractions for 62/678, 596/149, 369/642 is 6817644.