Least Common Multiple of 28/70, 63/524, 825/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/70, 63/524, 825/278 quickly i.e. 34650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/70, 63/524, 825/278 is 34650.

LCM(28/70, 63/524, 825/278) = 34650

LCM of 28/70, 63/524, 825/278

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 28/70,63/524,825/278

Given numbers are 28/70,63/524,825/278

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 28,63,825

Least Common Multiple of Numerators i.e. LCM of 28,63,825 is 69300.

GCF of Denominators means GCF of 70,524,278 as per the given fractions.

GCF of 70,524,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,63,825

LCM of Fractions 28/70,63/524,825/278 is 34650

3 28, 63, 825
7 28, 21, 275
4, 3, 275

∴ So the LCM of the given numbers is 3 x 7 x 4 x 3 x 275 = 69300

Least Common Multiple of 28,63,825 with GCF Formula

Least Common Multiple of 28,63,825 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 28,63,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,63,825) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(28,63,825) x common factors =1 x 21 = 21

LCM(28,63,825) = ( 28 × 63 × 825 ) / 21

LCM(28,63,825) = 1455300 / 21

LCM(28,63,825) = 69300


Lets's calculate GCF of 70,524,278

2 70, 524, 278
35, 262, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69300/2

Therefore the LCM of Fractions 28/70,63/524,825/278 is 34650

Greatest Common Factor of 70,524,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,524,278 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 70,524,278 . The biggest common factor number is the GCF number.
So the greatest common factor 70,524,278 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 28/70, 63/524, 825/278

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 28/70, 63/524, 825/278?

Answer: LCM of Numerators as per given numbers 28/70, 63/524, 825/278 is

LCM of Numerators i.e. for 28,63,825 is 69300

GCF of denominators i.e. for 70,524,278 is 2.

Thus, LCM of Fractions is 34650.Finally, LCM of Fractions for 28/70, 63/524, 825/278 is 34650.