Least Common Multiple of 83/762, 88/720, 214/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/762, 88/720, 214/266 quickly i.e. 390764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/762, 88/720, 214/266 is 390764.

LCM(83/762, 88/720, 214/266) = 390764

LCM of 83/762, 88/720, 214/266

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 83/762,88/720,214/266

Given numbers are 83/762,88/720,214/266

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 83,88,214

Least Common Multiple of Numerators i.e. LCM of 83,88,214 is 781528.

GCF of Denominators means GCF of 762,720,266 as per the given fractions.

GCF of 762,720,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,88,214

LCM of Fractions 83/762,88/720,214/266 is 390764

2 83, 88, 214
83, 44, 107

∴ So the LCM of the given numbers is 2 x 83 x 44 x 107 = 781528

Least Common Multiple of 83,88,214 with GCF Formula

Least Common Multiple of 83,88,214 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 83,88,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,88,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,88,214) x common factors =1 x 2 = 2

LCM(83,88,214) = ( 83 × 88 × 214 ) / 2

LCM(83,88,214) = 1563056 / 2

LCM(83,88,214) = 781528


Lets's calculate GCF of 762,720,266

2 762, 720, 266
381, 360, 133

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781528/2

Therefore the LCM of Fractions 83/762,88/720,214/266 is 390764

Greatest Common Factor of 762,720,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,720,266 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 762,720,266 . The biggest common factor number is the GCF number.
So the greatest common factor 762,720,266 is 2.


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 83/762, 88/720, 214/266

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 83/762, 88/720, 214/266?

Answer: LCM of Numerators as per given numbers 83/762, 88/720, 214/266 is

LCM of Numerators i.e. for 83,88,214 is 781528

GCF of denominators i.e. for 762,720,266 is 2.

Thus, LCM of Fractions is 390764.Finally, LCM of Fractions for 83/762, 88/720, 214/266 is 390764.