Least Common Multiple of 893/774, 950/165, 185/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 893/774, 950/165, 185/309 quickly i.e. 1652050/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/774, 950/165, 185/309 is 1652050/3.

LCM(893/774, 950/165, 185/309) = 1652050/3

LCM of 893/774, 950/165, 185/309

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 893/774,950/165,185/309

Given numbers are 893/774,950/165,185/309

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 893,950,185

Least Common Multiple of Numerators i.e. LCM of 893,950,185 is 1652050.

GCF of Denominators means GCF of 774,165,309 as per the given fractions.

GCF of 774,165,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,950,185

LCM of Fractions 893/774,950/165,185/309 is 1652050/3

5 893, 950, 185
19 893, 190, 37
47, 10, 37

∴ So the LCM of the given numbers is 5 x 19 x 47 x 10 x 37 = 1652050

Least Common Multiple of 893,950,185 with GCF Formula

Least Common Multiple of 893,950,185 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 893,950,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,950,185) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(893,950,185) x common factors =1 x 95 = 95

LCM(893,950,185) = ( 893 × 950 × 185 ) / 95

LCM(893,950,185) = 156944750 / 95

LCM(893,950,185) = 1652050


Lets's calculate GCF of 774,165,309

3 774, 165, 309
258, 55, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1652050/3

Therefore the LCM of Fractions 893/774,950/165,185/309 is 1652050/3

Greatest Common Factor of 774,165,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,165,309 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 774,165,309 . The biggest common factor number is the GCF number.
So the greatest common factor 774,165,309 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 893/774, 950/165, 185/309

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 893/774, 950/165, 185/309?

Answer: LCM of Numerators as per given numbers 893/774, 950/165, 185/309 is

LCM of Numerators i.e. for 893,950,185 is 1652050

GCF of denominators i.e. for 774,165,309 is 3.

Thus, LCM of Fractions is 1652050/3.Finally, LCM of Fractions for 893/774, 950/165, 185/309 is 1652050/3.