Least Common Multiple of 564/464, 2549/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/464, 2549/888 quickly i.e. 1437636/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/464, 2549/888 is 1437636/8.

LCM(564/464, 2549/888) = 1437636/8

LCM of 564/464, 2549/888

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 564/464,2549/888

Given numbers are 564/464,2549/888

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 564,2549

Least Common Multiple of Numerators i.e. LCM of 564,2549 is 1437636.

GCF of Denominators means GCF of 464,888 as per the given fractions.

GCF of 464,888 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,2549

LCM of Fractions 564/464,2549/888 is 1437636/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 1437636

Least Common Multiple of 564,2549 with GCF Formula

Least Common Multiple of 564,2549 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 564,2549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,2549) = 1

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

GCF(564,2549) x common factors =1 x 1 = 1

LCM(564,2549) = ( 564 × 2549 ) / 1

LCM(564,2549) = 1437636 / 1

LCM(564,2549) = 1437636


Lets's calculate GCF of 464,888

2 464, 888
2 232, 444
2 116, 222
58, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1437636/8

Therefore the LCM of Fractions 564/464,2549/888 is 1437636/8

Greatest Common Factor of 464,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,888 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 464,888 . The biggest common factor number is the GCF number.
So the greatest common factor 464,888 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 564/464, 2549/888

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 564/464, 2549/888?

Answer: LCM of Numerators as per given numbers 564/464, 2549/888 is

LCM of Numerators i.e. for 564,2549 is 1437636

GCF of denominators i.e. for 464,888 is 8.

Thus, LCM of Fractions is 1437636/8.Finally, LCM of Fractions for 564/464, 2549/888 is 1437636/8.