Least Common Multiple of 89/68, 53/24, 566/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/68, 53/24, 566/274 quickly i.e. 1334911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/68, 53/24, 566/274 is 1334911.

LCM(89/68, 53/24, 566/274) = 1334911

LCM of 89/68, 53/24, 566/274

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 89/68,53/24,566/274

Given numbers are 89/68,53/24,566/274

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 89,53,566

Least Common Multiple of Numerators i.e. LCM of 89,53,566 is 2669822.

GCF of Denominators means GCF of 68,24,274 as per the given fractions.

GCF of 68,24,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,53,566

LCM of Fractions 89/68,53/24,566/274 is 1334911

Given numbers has no common factors except 1. So, there LCM is their product i.e 2669822

Least Common Multiple of 89,53,566 with GCF Formula

Least Common Multiple of 89,53,566 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 89,53,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,53,566) = 1

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

GCF(89,53,566) x common factors =1 x 1 = 1

LCM(89,53,566) = ( 89 × 53 × 566 ) / 1

LCM(89,53,566) = 2669822 / 1

LCM(89,53,566) = 2669822


Lets's calculate GCF of 68,24,274

2 68, 24, 274
34, 12, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2669822/2

Therefore the LCM of Fractions 89/68,53/24,566/274 is 1334911

Greatest Common Factor of 68,24,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,24,274 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 68,24,274 . The biggest common factor number is the GCF number.
So the greatest common factor 68,24,274 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 89/68, 53/24, 566/274

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 89/68, 53/24, 566/274?

Answer: LCM of Numerators as per given numbers 89/68, 53/24, 566/274 is

LCM of Numerators i.e. for 89,53,566 is 2669822

GCF of denominators i.e. for 68,24,274 is 2.

Thus, LCM of Fractions is 1334911.Finally, LCM of Fractions for 89/68, 53/24, 566/274 is 1334911.