Least Common Multiple of 1565/297, 4955/9528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1565/297, 4955/9528 quickly i.e. 1550915/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1565/297, 4955/9528 is 1550915/3.

LCM(1565/297, 4955/9528) = 1550915/3

LCM of 1565/297, 4955/9528

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 1565/297,4955/9528

Given numbers are 1565/297,4955/9528

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 1565,4955

Least Common Multiple of Numerators i.e. LCM of 1565,4955 is 1550915.

GCF of Denominators means GCF of 297,9528 as per the given fractions.

GCF of 297,9528 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1565,4955

LCM of Fractions 1565/297,4955/9528 is 1550915/3

5 1565, 4955
313, 991

∴ So the LCM of the given numbers is 5 x 313 x 991 = 1550915

Least Common Multiple of 1565,4955 with GCF Formula

Least Common Multiple of 1565,4955 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 1565,4955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1565,4955) = 5

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

GCF(1565,4955) x common factors =5 x 1 = 5

LCM(1565,4955) = ( 1565 × 4955 ) / 5

LCM(1565,4955) = 7754575 / 5

LCM(1565,4955) = 1550915


Lets's calculate GCF of 297,9528

3 297, 9528
99, 3176

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1550915/3

Therefore the LCM of Fractions 1565/297,4955/9528 is 1550915/3

Greatest Common Factor of 297,9528 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,9528 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Greatest Common Factor

We found the factors 297,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 297,9528 is 3.


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 1565/297, 4955/9528

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 1565/297, 4955/9528?

Answer: LCM of Numerators as per given numbers 1565/297, 4955/9528 is

LCM of Numerators i.e. for 1565,4955 is 1550915

GCF of denominators i.e. for 297,9528 is 3.

Thus, LCM of Fractions is 1550915/3.Finally, LCM of Fractions for 1565/297, 4955/9528 is 1550915/3.