Least Common Multiple of 816/917, 528/702, 195/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/917, 528/702, 195/848 quickly i.e. 583440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/917, 528/702, 195/848 is 583440.

LCM(816/917, 528/702, 195/848) = 583440

LCM of 816/917, 528/702, 195/848

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 816/917,528/702,195/848

Given numbers are 816/917,528/702,195/848

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 816,528,195

Least Common Multiple of Numerators i.e. LCM of 816,528,195 is 583440.

GCF of Denominators means GCF of 917,702,848 as per the given fractions.

GCF of 917,702,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,528,195

LCM of Fractions 816/917,528/702,195/848 is 583440

2 816, 528, 195
2 408, 264, 195
2 204, 132, 195
2 102, 66, 195
3 51, 33, 195
17, 11, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 11 x 65 = 583440

Least Common Multiple of 816,528,195 with GCF Formula

Least Common Multiple of 816,528,195 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 816,528,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,528,195) = 3

common factors(in case of two or more numbers have common factors) = 48

GCF(816,528,195) x common factors =3 x 48 = 144

LCM(816,528,195) = ( 816 × 528 × 195 ) / 144

LCM(816,528,195) = 84015360 / 144

LCM(816,528,195) = 583440


Lets's calculate GCF of 917,702,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583440/1

Therefore the LCM of Fractions 816/917,528/702,195/848 is 583440

Greatest Common Factor of 917,702,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,702,848 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 917,702,848 . The biggest common factor number is the GCF number.
So the greatest common factor 917,702,848 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 816/917, 528/702, 195/848

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 816/917, 528/702, 195/848?

Answer: LCM of Numerators as per given numbers 816/917, 528/702, 195/848 is

LCM of Numerators i.e. for 816,528,195 is 583440

GCF of denominators i.e. for 917,702,848 is 1.

Thus, LCM of Fractions is 583440.Finally, LCM of Fractions for 816/917, 528/702, 195/848 is 583440.