Least Common Multiple of 297/15, 109/35, 718/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/15, 109/35, 718/552 quickly i.e. 23243814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/15, 109/35, 718/552 is 23243814.

LCM(297/15, 109/35, 718/552) = 23243814

LCM of 297/15, 109/35, 718/552

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 297/15,109/35,718/552

Given numbers are 297/15,109/35,718/552

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 297,109,718

Least Common Multiple of Numerators i.e. LCM of 297,109,718 is 23243814.

GCF of Denominators means GCF of 15,35,552 as per the given fractions.

GCF of 15,35,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,109,718

LCM of Fractions 297/15,109/35,718/552 is 23243814

Given numbers has no common factors except 1. So, there LCM is their product i.e 23243814

Least Common Multiple of 297,109,718 with GCF Formula

Least Common Multiple of 297,109,718 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 297,109,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,109,718) = 1

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

GCF(297,109,718) x common factors =1 x 1 = 1

LCM(297,109,718) = ( 297 × 109 × 718 ) / 1

LCM(297,109,718) = 23243814 / 1

LCM(297,109,718) = 23243814


Lets's calculate GCF of 15,35,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23243814/1

Therefore the LCM of Fractions 297/15,109/35,718/552 is 23243814

Greatest Common Factor of 15,35,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,35,552 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 15,35,552 . The biggest common factor number is the GCF number.
So the greatest common factor 15,35,552 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 297/15, 109/35, 718/552

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 297/15, 109/35, 718/552?

Answer: LCM of Numerators as per given numbers 297/15, 109/35, 718/552 is

LCM of Numerators i.e. for 297,109,718 is 23243814

GCF of denominators i.e. for 15,35,552 is 1.

Thus, LCM of Fractions is 23243814.Finally, LCM of Fractions for 297/15, 109/35, 718/552 is 23243814.