Least Common Multiple of 345/766, 2971/5525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/766, 2971/5525 quickly i.e. 1024995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/766, 2971/5525 is 1024995.

LCM(345/766, 2971/5525) = 1024995

LCM of 345/766, 2971/5525

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 345/766,2971/5525

Given numbers are 345/766,2971/5525

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 345,2971

Least Common Multiple of Numerators i.e. LCM of 345,2971 is 1024995.

GCF of Denominators means GCF of 766,5525 as per the given fractions.

GCF of 766,5525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,2971

LCM of Fractions 345/766,2971/5525 is 1024995

Given numbers has no common factors except 1. So, there LCM is their product i.e 1024995

Least Common Multiple of 345,2971 with GCF Formula

Least Common Multiple of 345,2971 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 345,2971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,2971) = 1

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

GCF(345,2971) x common factors =1 x 1 = 1

LCM(345,2971) = ( 345 × 2971 ) / 1

LCM(345,2971) = 1024995 / 1

LCM(345,2971) = 1024995


Lets's calculate GCF of 766,5525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1024995/1

Therefore the LCM of Fractions 345/766,2971/5525 is 1024995

Greatest Common Factor of 766,5525 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,5525 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1,5,13,17,25,65,85,221,325,425,1105,5525

Greatest Common Factor

We found the factors 766,5525 . The biggest common factor number is the GCF number.
So the greatest common factor 766,5525 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 345/766, 2971/5525

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 345/766, 2971/5525?

Answer: LCM of Numerators as per given numbers 345/766, 2971/5525 is

LCM of Numerators i.e. for 345,2971 is 1024995

GCF of denominators i.e. for 766,5525 is 1.

Thus, LCM of Fractions is 1024995.Finally, LCM of Fractions for 345/766, 2971/5525 is 1024995.