Least Common Multiple of 675/128, 4358/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/128, 4358/566 quickly i.e. 1470825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/128, 4358/566 is 1470825.

LCM(675/128, 4358/566) = 1470825

LCM of 675/128, 4358/566

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 675/128,4358/566

Given numbers are 675/128,4358/566

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 675,4358

Least Common Multiple of Numerators i.e. LCM of 675,4358 is 2941650.

GCF of Denominators means GCF of 128,566 as per the given fractions.

GCF of 128,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,4358

LCM of Fractions 675/128,4358/566 is 1470825

Given numbers has no common factors except 1. So, there LCM is their product i.e 2941650

Least Common Multiple of 675,4358 with GCF Formula

Least Common Multiple of 675,4358 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 675,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,4358) = 1

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

GCF(675,4358) x common factors =1 x 1 = 1

LCM(675,4358) = ( 675 × 4358 ) / 1

LCM(675,4358) = 2941650 / 1

LCM(675,4358) = 2941650


Lets's calculate GCF of 128,566

2 128, 566
64, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2941650/2

Therefore the LCM of Fractions 675/128,4358/566 is 1470825

Greatest Common Factor of 128,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,566 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 128,566 . The biggest common factor number is the GCF number.
So the greatest common factor 128,566 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 675/128, 4358/566

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 675/128, 4358/566?

Answer: LCM of Numerators as per given numbers 675/128, 4358/566 is

LCM of Numerators i.e. for 675,4358 is 2941650

GCF of denominators i.e. for 128,566 is 2.

Thus, LCM of Fractions is 1470825.Finally, LCM of Fractions for 675/128, 4358/566 is 1470825.