Least Common Multiple of 78/946, 50/646, 935/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/946, 50/646, 935/702 quickly i.e. 182325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/946, 50/646, 935/702 is 182325.

LCM(78/946, 50/646, 935/702) = 182325

LCM of 78/946, 50/646, 935/702

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 78/946,50/646,935/702

Given numbers are 78/946,50/646,935/702

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 78,50,935

Least Common Multiple of Numerators i.e. LCM of 78,50,935 is 364650.

GCF of Denominators means GCF of 946,646,702 as per the given fractions.

GCF of 946,646,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,50,935

LCM of Fractions 78/946,50/646,935/702 is 182325

2 78, 50, 935
5 39, 25, 935
39, 5, 187

∴ So the LCM of the given numbers is 2 x 5 x 39 x 5 x 187 = 364650

Least Common Multiple of 78,50,935 with GCF Formula

Least Common Multiple of 78,50,935 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 78,50,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,50,935) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(78,50,935) x common factors =1 x 10 = 10

LCM(78,50,935) = ( 78 × 50 × 935 ) / 10

LCM(78,50,935) = 3646500 / 10

LCM(78,50,935) = 364650


Lets's calculate GCF of 946,646,702

2 946, 646, 702
473, 323, 351

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364650/2

Therefore the LCM of Fractions 78/946,50/646,935/702 is 182325

Greatest Common Factor of 946,646,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,646,702 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

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 946,646,702 . The biggest common factor number is the GCF number.
So the greatest common factor 946,646,702 is 2.


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 78/946, 50/646, 935/702

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 78/946, 50/646, 935/702?

Answer: LCM of Numerators as per given numbers 78/946, 50/646, 935/702 is

LCM of Numerators i.e. for 78,50,935 is 364650

GCF of denominators i.e. for 946,646,702 is 2.

Thus, LCM of Fractions is 182325.Finally, LCM of Fractions for 78/946, 50/646, 935/702 is 182325.