Least Common Multiple of 293/98, 218/36, 636/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/98, 218/36, 636/412 quickly i.e. 10155966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/98, 218/36, 636/412 is 10155966.

LCM(293/98, 218/36, 636/412) = 10155966

LCM of 293/98, 218/36, 636/412

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 293/98,218/36,636/412

Given numbers are 293/98,218/36,636/412

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 293,218,636

Least Common Multiple of Numerators i.e. LCM of 293,218,636 is 20311932.

GCF of Denominators means GCF of 98,36,412 as per the given fractions.

GCF of 98,36,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,218,636

LCM of Fractions 293/98,218/36,636/412 is 10155966

2 293, 218, 636
293, 109, 318

∴ So the LCM of the given numbers is 2 x 293 x 109 x 318 = 20311932

Least Common Multiple of 293,218,636 with GCF Formula

Least Common Multiple of 293,218,636 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 293,218,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,218,636) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(293,218,636) x common factors =1 x 2 = 2

LCM(293,218,636) = ( 293 × 218 × 636 ) / 2

LCM(293,218,636) = 40623864 / 2

LCM(293,218,636) = 20311932


Lets's calculate GCF of 98,36,412

2 98, 36, 412
49, 18, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20311932/2

Therefore the LCM of Fractions 293/98,218/36,636/412 is 10155966

Greatest Common Factor of 98,36,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,36,412 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 98,36,412 . The biggest common factor number is the GCF number.
So the greatest common factor 98,36,412 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 293/98, 218/36, 636/412

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 293/98, 218/36, 636/412?

Answer: LCM of Numerators as per given numbers 293/98, 218/36, 636/412 is

LCM of Numerators i.e. for 293,218,636 is 20311932

GCF of denominators i.e. for 98,36,412 is 2.

Thus, LCM of Fractions is 10155966.Finally, LCM of Fractions for 293/98, 218/36, 636/412 is 10155966.