Least Common Multiple of 1428/532, 5778/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1428/532, 5778/738 quickly i.e. 687582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1428/532, 5778/738 is 687582.

LCM(1428/532, 5778/738) = 687582

LCM of 1428/532, 5778/738

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 1428/532,5778/738

Given numbers are 1428/532,5778/738

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 1428,5778

Least Common Multiple of Numerators i.e. LCM of 1428,5778 is 1375164.

GCF of Denominators means GCF of 532,738 as per the given fractions.

GCF of 532,738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1428,5778

LCM of Fractions 1428/532,5778/738 is 687582

2 1428, 5778
3 714, 2889
238, 963

∴ So the LCM of the given numbers is 2 x 3 x 238 x 963 = 1375164

Least Common Multiple of 1428,5778 with GCF Formula

Least Common Multiple of 1428,5778 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 1428,5778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1428,5778) = 6

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

GCF(1428,5778) x common factors =6 x 1 = 6

LCM(1428,5778) = ( 1428 × 5778 ) / 6

LCM(1428,5778) = 8250984 / 6

LCM(1428,5778) = 1375164


Lets's calculate GCF of 532,738

2 532, 738
266, 369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1375164/2

Therefore the LCM of Fractions 1428/532,5778/738 is 687582

Greatest Common Factor of 532,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,738 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 532,738 . The biggest common factor number is the GCF number.
So the greatest common factor 532,738 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 1428/532, 5778/738

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 1428/532, 5778/738?

Answer: LCM of Numerators as per given numbers 1428/532, 5778/738 is

LCM of Numerators i.e. for 1428,5778 is 1375164

GCF of denominators i.e. for 532,738 is 2.

Thus, LCM of Fractions is 687582.Finally, LCM of Fractions for 1428/532, 5778/738 is 687582.