Least Common Multiple of 820/451, 3696/2522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/451, 3696/2522 quickly i.e. 757680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/451, 3696/2522 is 757680.

LCM(820/451, 3696/2522) = 757680

LCM of 820/451, 3696/2522

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 820/451,3696/2522

Given numbers are 820/451,3696/2522

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 820,3696

Least Common Multiple of Numerators i.e. LCM of 820,3696 is 757680.

GCF of Denominators means GCF of 451,2522 as per the given fractions.

GCF of 451,2522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,3696

LCM of Fractions 820/451,3696/2522 is 757680

2 820, 3696
2 410, 1848
205, 924

∴ So the LCM of the given numbers is 2 x 2 x 205 x 924 = 757680

Least Common Multiple of 820,3696 with GCF Formula

Least Common Multiple of 820,3696 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 820,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,3696) = 4

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

GCF(820,3696) x common factors =4 x 1 = 4

LCM(820,3696) = ( 820 × 3696 ) / 4

LCM(820,3696) = 3030720 / 4

LCM(820,3696) = 757680


Lets's calculate GCF of 451,2522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757680/1

Therefore the LCM of Fractions 820/451,3696/2522 is 757680

Greatest Common Factor of 451,2522 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,2522 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1,2,13,26,97,194,1261,2522

Greatest Common Factor

We found the factors 451,2522 . The biggest common factor number is the GCF number.
So the greatest common factor 451,2522 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 820/451, 3696/2522

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 820/451, 3696/2522?

Answer: LCM of Numerators as per given numbers 820/451, 3696/2522 is

LCM of Numerators i.e. for 820,3696 is 757680

GCF of denominators i.e. for 451,2522 is 1.

Thus, LCM of Fractions is 757680.Finally, LCM of Fractions for 820/451, 3696/2522 is 757680.