Least Common Multiple of 80/25, 216/15, 762/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/25, 216/15, 762/114 quickly i.e. 274320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/25, 216/15, 762/114 is 274320.

LCM(80/25, 216/15, 762/114) = 274320

LCM of 80/25, 216/15, 762/114

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 80/25,216/15,762/114

Given numbers are 80/25,216/15,762/114

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 80,216,762

Least Common Multiple of Numerators i.e. LCM of 80,216,762 is 274320.

GCF of Denominators means GCF of 25,15,114 as per the given fractions.

GCF of 25,15,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,216,762

LCM of Fractions 80/25,216/15,762/114 is 274320

2 80, 216, 762
2 40, 108, 381
2 20, 54, 381
3 10, 27, 381
10, 9, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 10 x 9 x 127 = 274320

Least Common Multiple of 80,216,762 with GCF Formula

Least Common Multiple of 80,216,762 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 80,216,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,216,762) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(80,216,762) x common factors =2 x 24 = 48

LCM(80,216,762) = ( 80 × 216 × 762 ) / 48

LCM(80,216,762) = 13167360 / 48

LCM(80,216,762) = 274320


Lets's calculate GCF of 25,15,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274320/1

Therefore the LCM of Fractions 80/25,216/15,762/114 is 274320

Greatest Common Factor of 25,15,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,15,114 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 25,15,114 . The biggest common factor number is the GCF number.
So the greatest common factor 25,15,114 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 80/25, 216/15, 762/114

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 80/25, 216/15, 762/114?

Answer: LCM of Numerators as per given numbers 80/25, 216/15, 762/114 is

LCM of Numerators i.e. for 80,216,762 is 274320

GCF of denominators i.e. for 25,15,114 is 1.

Thus, LCM of Fractions is 274320.Finally, LCM of Fractions for 80/25, 216/15, 762/114 is 274320.