Least Common Multiple of 15/774, 577/794, 165/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/774, 577/794, 165/210 quickly i.e. 95205/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/774, 577/794, 165/210 is 95205/2.

LCM(15/774, 577/794, 165/210) = 95205/2

LCM of 15/774, 577/794, 165/210

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 15/774,577/794,165/210

Given numbers are 15/774,577/794,165/210

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 15,577,165

Least Common Multiple of Numerators i.e. LCM of 15,577,165 is 95205.

GCF of Denominators means GCF of 774,794,210 as per the given fractions.

GCF of 774,794,210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,577,165

LCM of Fractions 15/774,577/794,165/210 is 95205/2

3 15, 577, 165
5 5, 577, 55
1, 577, 11

∴ So the LCM of the given numbers is 3 x 5 x 1 x 577 x 11 = 95205

Least Common Multiple of 15,577,165 with GCF Formula

Least Common Multiple of 15,577,165 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 15,577,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,577,165) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,577,165) x common factors =1 x 15 = 15

LCM(15,577,165) = ( 15 × 577 × 165 ) / 15

LCM(15,577,165) = 1428075 / 15

LCM(15,577,165) = 95205


Lets's calculate GCF of 774,794,210

2 774, 794, 210
387, 397, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95205/2

Therefore the LCM of Fractions 15/774,577/794,165/210 is 95205/2

Greatest Common Factor of 774,794,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,794,210 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 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 774,794,210 . The biggest common factor number is the GCF number.
So the greatest common factor 774,794,210 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 15/774, 577/794, 165/210

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 15/774, 577/794, 165/210?

Answer: LCM of Numerators as per given numbers 15/774, 577/794, 165/210 is

LCM of Numerators i.e. for 15,577,165 is 95205

GCF of denominators i.e. for 774,794,210 is 2.

Thus, LCM of Fractions is 95205/2.Finally, LCM of Fractions for 15/774, 577/794, 165/210 is 95205/2.