Least Common Multiple of 904/74, 702/99, 816/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/74, 702/99, 816/565 quickly i.e. 10788336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/74, 702/99, 816/565 is 10788336.

LCM(904/74, 702/99, 816/565) = 10788336

LCM of 904/74, 702/99, 816/565

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 904/74,702/99,816/565

Given numbers are 904/74,702/99,816/565

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 904,702,816

Least Common Multiple of Numerators i.e. LCM of 904,702,816 is 10788336.

GCF of Denominators means GCF of 74,99,565 as per the given fractions.

GCF of 74,99,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,702,816

LCM of Fractions 904/74,702/99,816/565 is 10788336

2 904, 702, 816
2 452, 351, 408
2 226, 351, 204
3 113, 351, 102
113, 117, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 113 x 117 x 34 = 10788336

Least Common Multiple of 904,702,816 with GCF Formula

Least Common Multiple of 904,702,816 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 904,702,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,702,816) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(904,702,816) x common factors =2 x 24 = 48

LCM(904,702,816) = ( 904 × 702 × 816 ) / 48

LCM(904,702,816) = 517840128 / 48

LCM(904,702,816) = 10788336


Lets's calculate GCF of 74,99,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10788336/1

Therefore the LCM of Fractions 904/74,702/99,816/565 is 10788336

Greatest Common Factor of 74,99,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,99,565 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 99

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

1,3,9,11,33,99

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 74,99,565 . The biggest common factor number is the GCF number.
So the greatest common factor 74,99,565 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 904/74, 702/99, 816/565

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 904/74, 702/99, 816/565?

Answer: LCM of Numerators as per given numbers 904/74, 702/99, 816/565 is

LCM of Numerators i.e. for 904,702,816 is 10788336

GCF of denominators i.e. for 74,99,565 is 1.

Thus, LCM of Fractions is 10788336.Finally, LCM of Fractions for 904/74, 702/99, 816/565 is 10788336.