Least Common Multiple of 7309/701, 7645/5222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7309/701, 7645/5222 quickly i.e. 55877305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7309/701, 7645/5222 is 55877305.

LCM(7309/701, 7645/5222) = 55877305

LCM of 7309/701, 7645/5222

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 7309/701,7645/5222

Given numbers are 7309/701,7645/5222

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 7309,7645

Least Common Multiple of Numerators i.e. LCM of 7309,7645 is 55877305.

GCF of Denominators means GCF of 701,5222 as per the given fractions.

GCF of 701,5222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7309,7645

LCM of Fractions 7309/701,7645/5222 is 55877305

Given numbers has no common factors except 1. So, there LCM is their product i.e 55877305

Least Common Multiple of 7309,7645 with GCF Formula

Least Common Multiple of 7309,7645 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 7309,7645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7309,7645) = 1

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

GCF(7309,7645) x common factors =1 x 1 = 1

LCM(7309,7645) = ( 7309 × 7645 ) / 1

LCM(7309,7645) = 55877305 / 1

LCM(7309,7645) = 55877305


Lets's calculate GCF of 701,5222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55877305/1

Therefore the LCM of Fractions 7309/701,7645/5222 is 55877305

Greatest Common Factor of 701,5222 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,5222 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

Greatest Common Factor

We found the factors 701,5222 . The biggest common factor number is the GCF number.
So the greatest common factor 701,5222 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 7309/701, 7645/5222

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 7309/701, 7645/5222?

Answer: LCM of Numerators as per given numbers 7309/701, 7645/5222 is

LCM of Numerators i.e. for 7309,7645 is 55877305

GCF of denominators i.e. for 701,5222 is 1.

Thus, LCM of Fractions is 55877305.Finally, LCM of Fractions for 7309/701, 7645/5222 is 55877305.