Least Common Multiple of 28/870, 2797/7605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/870, 2797/7605 quickly i.e. 78316/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/870, 2797/7605 is 78316/15.

LCM(28/870, 2797/7605) = 78316/15

LCM of 28/870, 2797/7605

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 28/870,2797/7605

Given numbers are 28/870,2797/7605

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 28,2797

Least Common Multiple of Numerators i.e. LCM of 28,2797 is 78316.

GCF of Denominators means GCF of 870,7605 as per the given fractions.

GCF of 870,7605 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,2797

LCM of Fractions 28/870,2797/7605 is 78316/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 78316

Least Common Multiple of 28,2797 with GCF Formula

Least Common Multiple of 28,2797 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 28,2797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2797) = 1

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

GCF(28,2797) x common factors =1 x 1 = 1

LCM(28,2797) = ( 28 × 2797 ) / 1

LCM(28,2797) = 78316 / 1

LCM(28,2797) = 78316


Lets's calculate GCF of 870,7605

3 870, 7605
5 290, 2535
58, 507

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78316/15

Therefore the LCM of Fractions 28/870,2797/7605 is 78316/15

Greatest Common Factor of 870,7605 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,7605 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605

Greatest Common Factor

We found the factors 870,7605 . The biggest common factor number is the GCF number.
So the greatest common factor 870,7605 is 15.


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 28/870, 2797/7605

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 28/870, 2797/7605?

Answer: LCM of Numerators as per given numbers 28/870, 2797/7605 is

LCM of Numerators i.e. for 28,2797 is 78316

GCF of denominators i.e. for 870,7605 is 15.

Thus, LCM of Fractions is 78316/15.Finally, LCM of Fractions for 28/870, 2797/7605 is 78316/15.