Least Common Multiple of 678/702, 232/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/702, 232/642 quickly i.e. 13108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/702, 232/642 is 13108.

LCM(678/702, 232/642) = 13108

LCM of 678/702, 232/642

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 678/702,232/642

Given numbers are 678/702,232/642

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 678,232

Least Common Multiple of Numerators i.e. LCM of 678,232 is 78648.

GCF of Denominators means GCF of 702,642 as per the given fractions.

GCF of 702,642 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,232

LCM of Fractions 678/702,232/642 is 13108

2 678, 232
339, 116

∴ So the LCM of the given numbers is 2 x 339 x 116 = 78648

Least Common Multiple of 678,232 with GCF Formula

Least Common Multiple of 678,232 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 678,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,232) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(678,232) x common factors =2 x 1 = 2

LCM(678,232) = ( 678 × 232 ) / 2

LCM(678,232) = 157296 / 2

LCM(678,232) = 78648


Lets's calculate GCF of 702,642

2 702, 642
3 351, 321
117, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78648/6

Therefore the LCM of Fractions 678/702,232/642 is 13108

Greatest Common Factor of 702,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,642 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

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 702,642 . The biggest common factor number is the GCF number.
So the greatest common factor 702,642 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 678/702, 232/642

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 678/702, 232/642?

Answer: LCM of Numerators as per given numbers 678/702, 232/642 is

LCM of Numerators i.e. for 678,232 is 78648

GCF of denominators i.e. for 702,642 is 6.

Thus, LCM of Fractions is 13108.Finally, LCM of Fractions for 678/702, 232/642 is 13108.