Least Common Multiple of 80/956, 27/313, 321/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/956, 27/313, 321/154 quickly i.e. 231120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/956, 27/313, 321/154 is 231120.

LCM(80/956, 27/313, 321/154) = 231120

LCM of 80/956, 27/313, 321/154

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 80/956,27/313,321/154

Given numbers are 80/956,27/313,321/154

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 80,27,321

Least Common Multiple of Numerators i.e. LCM of 80,27,321 is 231120.

GCF of Denominators means GCF of 956,313,154 as per the given fractions.

GCF of 956,313,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,27,321

LCM of Fractions 80/956,27/313,321/154 is 231120

3 80, 27, 321
80, 9, 107

∴ So the LCM of the given numbers is 3 x 80 x 9 x 107 = 231120

Least Common Multiple of 80,27,321 with GCF Formula

Least Common Multiple of 80,27,321 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 80,27,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,27,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(80,27,321) x common factors =1 x 3 = 3

LCM(80,27,321) = ( 80 × 27 × 321 ) / 3

LCM(80,27,321) = 693360 / 3

LCM(80,27,321) = 231120


Lets's calculate GCF of 956,313,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231120/1

Therefore the LCM of Fractions 80/956,27/313,321/154 is 231120

Greatest Common Factor of 956,313,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,313,154 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 956,313,154 . The biggest common factor number is the GCF number.
So the greatest common factor 956,313,154 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 80/956, 27/313, 321/154

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 80/956, 27/313, 321/154?

Answer: LCM of Numerators as per given numbers 80/956, 27/313, 321/154 is

LCM of Numerators i.e. for 80,27,321 is 231120

GCF of denominators i.e. for 956,313,154 is 1.

Thus, LCM of Fractions is 231120.Finally, LCM of Fractions for 80/956, 27/313, 321/154 is 231120.