Least Common Multiple of 2569/980, 7222/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2569/980, 7222/743 quickly i.e. 18553318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2569/980, 7222/743 is 18553318.

LCM(2569/980, 7222/743) = 18553318

LCM of 2569/980, 7222/743

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 2569/980,7222/743

Given numbers are 2569/980,7222/743

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 2569,7222

Least Common Multiple of Numerators i.e. LCM of 2569,7222 is 18553318.

GCF of Denominators means GCF of 980,743 as per the given fractions.

GCF of 980,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2569,7222

LCM of Fractions 2569/980,7222/743 is 18553318

Given numbers has no common factors except 1. So, there LCM is their product i.e 18553318

Least Common Multiple of 2569,7222 with GCF Formula

Least Common Multiple of 2569,7222 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 2569,7222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2569,7222) = 1

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

GCF(2569,7222) x common factors =1 x 1 = 1

LCM(2569,7222) = ( 2569 × 7222 ) / 1

LCM(2569,7222) = 18553318 / 1

LCM(2569,7222) = 18553318


Lets's calculate GCF of 980,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18553318/1

Therefore the LCM of Fractions 2569/980,7222/743 is 18553318

Greatest Common Factor of 980,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,743 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 980,743 . The biggest common factor number is the GCF number.
So the greatest common factor 980,743 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 2569/980, 7222/743

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 2569/980, 7222/743?

Answer: LCM of Numerators as per given numbers 2569/980, 7222/743 is

LCM of Numerators i.e. for 2569,7222 is 18553318

GCF of denominators i.e. for 980,743 is 1.

Thus, LCM of Fractions is 18553318.Finally, LCM of Fractions for 2569/980, 7222/743 is 18553318.