Least Common Multiple of 28/532, 651/508, 160/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/532, 651/508, 160/300 quickly i.e. 26040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/532, 651/508, 160/300 is 26040.

LCM(28/532, 651/508, 160/300) = 26040

LCM of 28/532, 651/508, 160/300

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 28/532,651/508,160/300

Given numbers are 28/532,651/508,160/300

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 28,651,160

Least Common Multiple of Numerators i.e. LCM of 28,651,160 is 104160.

GCF of Denominators means GCF of 532,508,300 as per the given fractions.

GCF of 532,508,300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,651,160

LCM of Fractions 28/532,651/508,160/300 is 26040

2 28, 651, 160
2 14, 651, 80
7 7, 651, 40
1, 93, 40

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 93 x 40 = 104160

Least Common Multiple of 28,651,160 with GCF Formula

Least Common Multiple of 28,651,160 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 28,651,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,651,160) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,651,160) x common factors =1 x 28 = 28

LCM(28,651,160) = ( 28 × 651 × 160 ) / 28

LCM(28,651,160) = 2916480 / 28

LCM(28,651,160) = 104160


Lets's calculate GCF of 532,508,300

2 532, 508, 300
2 266, 254, 150
133, 127, 75

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104160/4

Therefore the LCM of Fractions 28/532,651/508,160/300 is 26040

Greatest Common Factor of 532,508,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,508,300 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 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 532,508,300 . The biggest common factor number is the GCF number.
So the greatest common factor 532,508,300 is 4.


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 28/532, 651/508, 160/300

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 28/532, 651/508, 160/300?

Answer: LCM of Numerators as per given numbers 28/532, 651/508, 160/300 is

LCM of Numerators i.e. for 28,651,160 is 104160

GCF of denominators i.e. for 532,508,300 is 4.

Thus, LCM of Fractions is 26040.Finally, LCM of Fractions for 28/532, 651/508, 160/300 is 26040.