Least Common Multiple of 29/304, 1554/7698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/304, 1554/7698 quickly i.e. 22533 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/304, 1554/7698 is 22533.

LCM(29/304, 1554/7698) = 22533

LCM of 29/304, 1554/7698

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 29/304,1554/7698

Given numbers are 29/304,1554/7698

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 29,1554

Least Common Multiple of Numerators i.e. LCM of 29,1554 is 45066.

GCF of Denominators means GCF of 304,7698 as per the given fractions.

GCF of 304,7698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,1554

LCM of Fractions 29/304,1554/7698 is 22533

Given numbers has no common factors except 1. So, there LCM is their product i.e 45066

Least Common Multiple of 29,1554 with GCF Formula

Least Common Multiple of 29,1554 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 29,1554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,1554) = 1

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

GCF(29,1554) x common factors =1 x 1 = 1

LCM(29,1554) = ( 29 × 1554 ) / 1

LCM(29,1554) = 45066 / 1

LCM(29,1554) = 45066


Lets's calculate GCF of 304,7698

2 304, 7698
152, 3849

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45066/2

Therefore the LCM of Fractions 29/304,1554/7698 is 22533

Greatest Common Factor of 304,7698 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,7698 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1,2,3,6,1283,2566,3849,7698

Greatest Common Factor

We found the factors 304,7698 . The biggest common factor number is the GCF number.
So the greatest common factor 304,7698 is 2.


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 29/304, 1554/7698

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 29/304, 1554/7698?

Answer: LCM of Numerators as per given numbers 29/304, 1554/7698 is

LCM of Numerators i.e. for 29,1554 is 45066

GCF of denominators i.e. for 304,7698 is 2.

Thus, LCM of Fractions is 22533.Finally, LCM of Fractions for 29/304, 1554/7698 is 22533.