Least Common Multiple of 1520/153, 2866/7357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1520/153, 2866/7357 quickly i.e. 2178160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1520/153, 2866/7357 is 2178160.

LCM(1520/153, 2866/7357) = 2178160

LCM of 1520/153, 2866/7357

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 1520/153,2866/7357

Given numbers are 1520/153,2866/7357

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 1520,2866

Least Common Multiple of Numerators i.e. LCM of 1520,2866 is 2178160.

GCF of Denominators means GCF of 153,7357 as per the given fractions.

GCF of 153,7357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1520,2866

LCM of Fractions 1520/153,2866/7357 is 2178160

2 1520, 2866
760, 1433

∴ So the LCM of the given numbers is 2 x 760 x 1433 = 2178160

Least Common Multiple of 1520,2866 with GCF Formula

Least Common Multiple of 1520,2866 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 1520,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1520,2866) = 2

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

GCF(1520,2866) x common factors =2 x 1 = 2

LCM(1520,2866) = ( 1520 × 2866 ) / 2

LCM(1520,2866) = 4356320 / 2

LCM(1520,2866) = 2178160


Lets's calculate GCF of 153,7357

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2178160/1

Therefore the LCM of Fractions 1520/153,2866/7357 is 2178160

Greatest Common Factor of 153,7357 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,7357 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1,7,1051,7357

Greatest Common Factor

We found the factors 153,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 153,7357 is 1.


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 1520/153, 2866/7357

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 1520/153, 2866/7357?

Answer: LCM of Numerators as per given numbers 1520/153, 2866/7357 is

LCM of Numerators i.e. for 1520,2866 is 2178160

GCF of denominators i.e. for 153,7357 is 1.

Thus, LCM of Fractions is 2178160.Finally, LCM of Fractions for 1520/153, 2866/7357 is 2178160.