Least Common Multiple of 678/935, 1722/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/935, 1722/702 quickly i.e. 194586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/935, 1722/702 is 194586.

LCM(678/935, 1722/702) = 194586

LCM of 678/935, 1722/702

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 678/935,1722/702

Given numbers are 678/935,1722/702

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 678,1722

Least Common Multiple of Numerators i.e. LCM of 678,1722 is 194586.

GCF of Denominators means GCF of 935,702 as per the given fractions.

GCF of 935,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,1722

LCM of Fractions 678/935,1722/702 is 194586

2 678, 1722
3 339, 861
113, 287

∴ So the LCM of the given numbers is 2 x 3 x 113 x 287 = 194586

Least Common Multiple of 678,1722 with GCF Formula

Least Common Multiple of 678,1722 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 678,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,1722) = 6

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

GCF(678,1722) x common factors =6 x 1 = 6

LCM(678,1722) = ( 678 × 1722 ) / 6

LCM(678,1722) = 1167516 / 6

LCM(678,1722) = 194586


Lets's calculate GCF of 935,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194586/1

Therefore the LCM of Fractions 678/935,1722/702 is 194586

Greatest Common Factor of 935,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,702 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

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

Greatest Common Factor

We found the factors 935,702 . The biggest common factor number is the GCF number.
So the greatest common factor 935,702 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 678/935, 1722/702

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 678/935, 1722/702?

Answer: LCM of Numerators as per given numbers 678/935, 1722/702 is

LCM of Numerators i.e. for 678,1722 is 194586

GCF of denominators i.e. for 935,702 is 1.

Thus, LCM of Fractions is 194586.Finally, LCM of Fractions for 678/935, 1722/702 is 194586.