Least Common Multiple of 80/777, 114/814, 716/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/777, 114/814, 716/306 quickly i.e. 816240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/777, 114/814, 716/306 is 816240.

LCM(80/777, 114/814, 716/306) = 816240

LCM of 80/777, 114/814, 716/306

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 80/777,114/814,716/306

Given numbers are 80/777,114/814,716/306

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 80,114,716

Least Common Multiple of Numerators i.e. LCM of 80,114,716 is 816240.

GCF of Denominators means GCF of 777,814,306 as per the given fractions.

GCF of 777,814,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,114,716

LCM of Fractions 80/777,114/814,716/306 is 816240

2 80, 114, 716
2 40, 57, 358
20, 57, 179

∴ So the LCM of the given numbers is 2 x 2 x 20 x 57 x 179 = 816240

Least Common Multiple of 80,114,716 with GCF Formula

Least Common Multiple of 80,114,716 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 80,114,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,114,716) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(80,114,716) x common factors =2 x 4 = 8

LCM(80,114,716) = ( 80 × 114 × 716 ) / 8

LCM(80,114,716) = 6529920 / 8

LCM(80,114,716) = 816240


Lets's calculate GCF of 777,814,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816240/1

Therefore the LCM of Fractions 80/777,114/814,716/306 is 816240

Greatest Common Factor of 777,814,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,814,306 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 777,814,306 . The biggest common factor number is the GCF number.
So the greatest common factor 777,814,306 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 80/777, 114/814, 716/306

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 80/777, 114/814, 716/306?

Answer: LCM of Numerators as per given numbers 80/777, 114/814, 716/306 is

LCM of Numerators i.e. for 80,114,716 is 816240

GCF of denominators i.e. for 777,814,306 is 1.

Thus, LCM of Fractions is 816240.Finally, LCM of Fractions for 80/777, 114/814, 716/306 is 816240.