Least Common Multiple of 78/698, 43/712, 361/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/698, 43/712, 361/131 quickly i.e. 1210794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/698, 43/712, 361/131 is 1210794.

LCM(78/698, 43/712, 361/131) = 1210794

LCM of 78/698, 43/712, 361/131

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 78/698,43/712,361/131

Given numbers are 78/698,43/712,361/131

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 78,43,361

Least Common Multiple of Numerators i.e. LCM of 78,43,361 is 1210794.

GCF of Denominators means GCF of 698,712,131 as per the given fractions.

GCF of 698,712,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,43,361

LCM of Fractions 78/698,43/712,361/131 is 1210794

Given numbers has no common factors except 1. So, there LCM is their product i.e 1210794

Least Common Multiple of 78,43,361 with GCF Formula

Least Common Multiple of 78,43,361 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 78,43,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,43,361) = 1

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

GCF(78,43,361) x common factors =1 x 1 = 1

LCM(78,43,361) = ( 78 × 43 × 361 ) / 1

LCM(78,43,361) = 1210794 / 1

LCM(78,43,361) = 1210794


Lets's calculate GCF of 698,712,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210794/1

Therefore the LCM of Fractions 78/698,43/712,361/131 is 1210794

Greatest Common Factor of 698,712,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,712,131 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 698,712,131 . The biggest common factor number is the GCF number.
So the greatest common factor 698,712,131 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 78/698, 43/712, 361/131

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 78/698, 43/712, 361/131?

Answer: LCM of Numerators as per given numbers 78/698, 43/712, 361/131 is

LCM of Numerators i.e. for 78,43,361 is 1210794

GCF of denominators i.e. for 698,712,131 is 1.

Thus, LCM of Fractions is 1210794.Finally, LCM of Fractions for 78/698, 43/712, 361/131 is 1210794.