Least Common Multiple of 217/536, 304/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/536, 304/552 quickly i.e. 8246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/536, 304/552 is 8246.

LCM(217/536, 304/552) = 8246

LCM of 217/536, 304/552

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 217/536,304/552

Given numbers are 217/536,304/552

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 217,304

Least Common Multiple of Numerators i.e. LCM of 217,304 is 65968.

GCF of Denominators means GCF of 536,552 as per the given fractions.

GCF of 536,552 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,304

LCM of Fractions 217/536,304/552 is 8246

Given numbers has no common factors except 1. So, there LCM is their product i.e 65968

Least Common Multiple of 217,304 with GCF Formula

Least Common Multiple of 217,304 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 217,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,304) = 1

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

GCF(217,304) x common factors =1 x 1 = 1

LCM(217,304) = ( 217 × 304 ) / 1

LCM(217,304) = 65968 / 1

LCM(217,304) = 65968


Lets's calculate GCF of 536,552

2 536, 552
2 268, 276
2 134, 138
67, 69

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65968/8

Therefore the LCM of Fractions 217/536,304/552 is 8246

Greatest Common Factor of 536,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,552 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

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 536,552 . The biggest common factor number is the GCF number.
So the greatest common factor 536,552 is 8.


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 217/536, 304/552

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 217/536, 304/552?

Answer: LCM of Numerators as per given numbers 217/536, 304/552 is

LCM of Numerators i.e. for 217,304 is 65968

GCF of denominators i.e. for 536,552 is 8.

Thus, LCM of Fractions is 8246.Finally, LCM of Fractions for 217/536, 304/552 is 8246.