Least Common Multiple of 120/91, 480/46, 155/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/91, 480/46, 155/894 quickly i.e. 14880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/91, 480/46, 155/894 is 14880.

LCM(120/91, 480/46, 155/894) = 14880

LCM of 120/91, 480/46, 155/894

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 120/91,480/46,155/894

Given numbers are 120/91,480/46,155/894

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 120,480,155

Least Common Multiple of Numerators i.e. LCM of 120,480,155 is 14880.

GCF of Denominators means GCF of 91,46,894 as per the given fractions.

GCF of 91,46,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,480,155

LCM of Fractions 120/91,480/46,155/894 is 14880

2 120, 480, 155
2 60, 240, 155
2 30, 120, 155
3 15, 60, 155
5 5, 20, 155
1, 4, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 4 x 31 = 14880

Least Common Multiple of 120,480,155 with GCF Formula

Least Common Multiple of 120,480,155 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 120,480,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,480,155) = 5

common factors(in case of two or more numbers have common factors) = 120

GCF(120,480,155) x common factors =5 x 120 = 600

LCM(120,480,155) = ( 120 × 480 × 155 ) / 600

LCM(120,480,155) = 8928000 / 600

LCM(120,480,155) = 14880


Lets's calculate GCF of 91,46,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14880/1

Therefore the LCM of Fractions 120/91,480/46,155/894 is 14880

Greatest Common Factor of 91,46,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,46,894 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 91,46,894 . The biggest common factor number is the GCF number.
So the greatest common factor 91,46,894 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 120/91, 480/46, 155/894

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 120/91, 480/46, 155/894?

Answer: LCM of Numerators as per given numbers 120/91, 480/46, 155/894 is

LCM of Numerators i.e. for 120,480,155 is 14880

GCF of denominators i.e. for 91,46,894 is 1.

Thus, LCM of Fractions is 14880.Finally, LCM of Fractions for 120/91, 480/46, 155/894 is 14880.