Least Common Multiple of 88/300, 215/29, 436/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/300, 215/29, 436/679 quickly i.e. 2062280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/300, 215/29, 436/679 is 2062280.

LCM(88/300, 215/29, 436/679) = 2062280

LCM of 88/300, 215/29, 436/679

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 88/300,215/29,436/679

Given numbers are 88/300,215/29,436/679

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 88,215,436

Least Common Multiple of Numerators i.e. LCM of 88,215,436 is 2062280.

GCF of Denominators means GCF of 300,29,679 as per the given fractions.

GCF of 300,29,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,215,436

LCM of Fractions 88/300,215/29,436/679 is 2062280

2 88, 215, 436
2 44, 215, 218
22, 215, 109

∴ So the LCM of the given numbers is 2 x 2 x 22 x 215 x 109 = 2062280

Least Common Multiple of 88,215,436 with GCF Formula

Least Common Multiple of 88,215,436 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 88,215,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,215,436) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,215,436) x common factors =1 x 4 = 4

LCM(88,215,436) = ( 88 × 215 × 436 ) / 4

LCM(88,215,436) = 8249120 / 4

LCM(88,215,436) = 2062280


Lets's calculate GCF of 300,29,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2062280/1

Therefore the LCM of Fractions 88/300,215/29,436/679 is 2062280

Greatest Common Factor of 300,29,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,29,679 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 300,29,679 . The biggest common factor number is the GCF number.
So the greatest common factor 300,29,679 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 88/300, 215/29, 436/679

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 88/300, 215/29, 436/679?

Answer: LCM of Numerators as per given numbers 88/300, 215/29, 436/679 is

LCM of Numerators i.e. for 88,215,436 is 2062280

GCF of denominators i.e. for 300,29,679 is 1.

Thus, LCM of Fractions is 2062280.Finally, LCM of Fractions for 88/300, 215/29, 436/679 is 2062280.