Least Common Multiple of 78/302, 3558/1390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/302, 3558/1390 quickly i.e. 23127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/302, 3558/1390 is 23127.

LCM(78/302, 3558/1390) = 23127

LCM of 78/302, 3558/1390

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 78/302,3558/1390

Given numbers are 78/302,3558/1390

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 78,3558

Least Common Multiple of Numerators i.e. LCM of 78,3558 is 46254.

GCF of Denominators means GCF of 302,1390 as per the given fractions.

GCF of 302,1390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,3558

LCM of Fractions 78/302,3558/1390 is 23127

2 78, 3558
3 39, 1779
13, 593

∴ So the LCM of the given numbers is 2 x 3 x 13 x 593 = 46254

Least Common Multiple of 78,3558 with GCF Formula

Least Common Multiple of 78,3558 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 78,3558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,3558) = 6

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

GCF(78,3558) x common factors =6 x 1 = 6

LCM(78,3558) = ( 78 × 3558 ) / 6

LCM(78,3558) = 277524 / 6

LCM(78,3558) = 46254


Lets's calculate GCF of 302,1390

2 302, 1390
151, 695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46254/2

Therefore the LCM of Fractions 78/302,3558/1390 is 23127

Greatest Common Factor of 302,1390 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,1390 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1,2,5,10,139,278,695,1390

Greatest Common Factor

We found the factors 302,1390 . The biggest common factor number is the GCF number.
So the greatest common factor 302,1390 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 78/302, 3558/1390

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 78/302, 3558/1390?

Answer: LCM of Numerators as per given numbers 78/302, 3558/1390 is

LCM of Numerators i.e. for 78,3558 is 46254

GCF of denominators i.e. for 302,1390 is 2.

Thus, LCM of Fractions is 23127.Finally, LCM of Fractions for 78/302, 3558/1390 is 23127.