Least Common Multiple of 7315/862, 2720/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7315/862, 2720/270 quickly i.e. 1989680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7315/862, 2720/270 is 1989680.

LCM(7315/862, 2720/270) = 1989680

LCM of 7315/862, 2720/270

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 7315/862,2720/270

Given numbers are 7315/862,2720/270

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 7315,2720

Least Common Multiple of Numerators i.e. LCM of 7315,2720 is 3979360.

GCF of Denominators means GCF of 862,270 as per the given fractions.

GCF of 862,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7315,2720

LCM of Fractions 7315/862,2720/270 is 1989680

5 7315, 2720
1463, 544

∴ So the LCM of the given numbers is 5 x 1463 x 544 = 3979360

Least Common Multiple of 7315,2720 with GCF Formula

Least Common Multiple of 7315,2720 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 7315,2720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7315,2720) = 5

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

GCF(7315,2720) x common factors =5 x 1 = 5

LCM(7315,2720) = ( 7315 × 2720 ) / 5

LCM(7315,2720) = 19896800 / 5

LCM(7315,2720) = 3979360


Lets's calculate GCF of 862,270

2 862, 270
431, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3979360/2

Therefore the LCM of Fractions 7315/862,2720/270 is 1989680

Greatest Common Factor of 862,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,270 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 862,270 . The biggest common factor number is the GCF number.
So the greatest common factor 862,270 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 7315/862, 2720/270

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 7315/862, 2720/270?

Answer: LCM of Numerators as per given numbers 7315/862, 2720/270 is

LCM of Numerators i.e. for 7315,2720 is 3979360

GCF of denominators i.e. for 862,270 is 2.

Thus, LCM of Fractions is 1989680.Finally, LCM of Fractions for 7315/862, 2720/270 is 1989680.