Least Common Multiple of 15/120, 77/879, 297/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/120, 77/879, 297/873 quickly i.e. 3465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/120, 77/879, 297/873 is 3465.

LCM(15/120, 77/879, 297/873) = 3465

LCM of 15/120, 77/879, 297/873

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 15/120,77/879,297/873

Given numbers are 15/120,77/879,297/873

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 15,77,297

Least Common Multiple of Numerators i.e. LCM of 15,77,297 is 10395.

GCF of Denominators means GCF of 120,879,873 as per the given fractions.

GCF of 120,879,873 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,77,297

LCM of Fractions 15/120,77/879,297/873 is 3465

3 15, 77, 297
11 5, 77, 99
5, 7, 9

∴ So the LCM of the given numbers is 3 x 11 x 5 x 7 x 9 = 10395

Least Common Multiple of 15,77,297 with GCF Formula

Least Common Multiple of 15,77,297 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 15,77,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,77,297) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(15,77,297) x common factors =1 x 33 = 33

LCM(15,77,297) = ( 15 × 77 × 297 ) / 33

LCM(15,77,297) = 343035 / 33

LCM(15,77,297) = 10395


Lets's calculate GCF of 120,879,873

3 120, 879, 873
40, 293, 291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10395/3

Therefore the LCM of Fractions 15/120,77/879,297/873 is 3465

Greatest Common Factor of 120,879,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,879,873 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 120,879,873 . The biggest common factor number is the GCF number.
So the greatest common factor 120,879,873 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 15/120, 77/879, 297/873

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 15/120, 77/879, 297/873?

Answer: LCM of Numerators as per given numbers 15/120, 77/879, 297/873 is

LCM of Numerators i.e. for 15,77,297 is 10395

GCF of denominators i.e. for 120,879,873 is 3.

Thus, LCM of Fractions is 3465.Finally, LCM of Fractions for 15/120, 77/879, 297/873 is 3465.