Least Common Multiple of 29/95, 509/99, 616/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/95, 509/99, 616/828 quickly i.e. 9092776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/95, 509/99, 616/828 is 9092776.

LCM(29/95, 509/99, 616/828) = 9092776

LCM of 29/95, 509/99, 616/828

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 29/95,509/99,616/828

Given numbers are 29/95,509/99,616/828

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 29,509,616

Least Common Multiple of Numerators i.e. LCM of 29,509,616 is 9092776.

GCF of Denominators means GCF of 95,99,828 as per the given fractions.

GCF of 95,99,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,509,616

LCM of Fractions 29/95,509/99,616/828 is 9092776

Given numbers has no common factors except 1. So, there LCM is their product i.e 9092776

Least Common Multiple of 29,509,616 with GCF Formula

Least Common Multiple of 29,509,616 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 29,509,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,509,616) = 1

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

GCF(29,509,616) x common factors =1 x 1 = 1

LCM(29,509,616) = ( 29 × 509 × 616 ) / 1

LCM(29,509,616) = 9092776 / 1

LCM(29,509,616) = 9092776


Lets's calculate GCF of 95,99,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9092776/1

Therefore the LCM of Fractions 29/95,509/99,616/828 is 9092776

Greatest Common Factor of 95,99,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,99,828 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 95,99,828 . The biggest common factor number is the GCF number.
So the greatest common factor 95,99,828 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 29/95, 509/99, 616/828

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 29/95, 509/99, 616/828?

Answer: LCM of Numerators as per given numbers 29/95, 509/99, 616/828 is

LCM of Numerators i.e. for 29,509,616 is 9092776

GCF of denominators i.e. for 95,99,828 is 1.

Thus, LCM of Fractions is 9092776.Finally, LCM of Fractions for 29/95, 509/99, 616/828 is 9092776.