Least Common Multiple of 290/12, 5196/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/12, 5196/178 quickly i.e. 376710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/12, 5196/178 is 376710.

LCM(290/12, 5196/178) = 376710

LCM of 290/12, 5196/178

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 290/12,5196/178

Given numbers are 290/12,5196/178

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 290,5196

Least Common Multiple of Numerators i.e. LCM of 290,5196 is 753420.

GCF of Denominators means GCF of 12,178 as per the given fractions.

GCF of 12,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,5196

LCM of Fractions 290/12,5196/178 is 376710

2 290, 5196
145, 2598

∴ So the LCM of the given numbers is 2 x 145 x 2598 = 753420

Least Common Multiple of 290,5196 with GCF Formula

Least Common Multiple of 290,5196 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 290,5196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,5196) = 2

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

GCF(290,5196) x common factors =2 x 1 = 2

LCM(290,5196) = ( 290 × 5196 ) / 2

LCM(290,5196) = 1506840 / 2

LCM(290,5196) = 753420


Lets's calculate GCF of 12,178

2 12, 178
6, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753420/2

Therefore the LCM of Fractions 290/12,5196/178 is 376710

Greatest Common Factor of 12,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,178 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 12,178 . The biggest common factor number is the GCF number.
So the greatest common factor 12,178 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 290/12, 5196/178

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 290/12, 5196/178?

Answer: LCM of Numerators as per given numbers 290/12, 5196/178 is

LCM of Numerators i.e. for 290,5196 is 753420

GCF of denominators i.e. for 12,178 is 2.

Thus, LCM of Fractions is 376710.Finally, LCM of Fractions for 290/12, 5196/178 is 376710.