Least Common Multiple of 766/93, 678/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/93, 678/210 quickly i.e. 86558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/93, 678/210 is 86558.

LCM(766/93, 678/210) = 86558

LCM of 766/93, 678/210

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 766/93,678/210

Given numbers are 766/93,678/210

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 766,678

Least Common Multiple of Numerators i.e. LCM of 766,678 is 259674.

GCF of Denominators means GCF of 93,210 as per the given fractions.

GCF of 93,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,678

LCM of Fractions 766/93,678/210 is 86558

2 766, 678
383, 339

∴ So the LCM of the given numbers is 2 x 383 x 339 = 259674

Least Common Multiple of 766,678 with GCF Formula

Least Common Multiple of 766,678 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 766,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,678) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(766,678) x common factors =2 x 1 = 2

LCM(766,678) = ( 766 × 678 ) / 2

LCM(766,678) = 519348 / 2

LCM(766,678) = 259674


Lets's calculate GCF of 93,210

3 93, 210
31, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259674/3

Therefore the LCM of Fractions 766/93,678/210 is 86558

Greatest Common Factor of 93,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,210 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 93,210 . The biggest common factor number is the GCF number.
So the greatest common factor 93,210 is 3.


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 766/93, 678/210

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 766/93, 678/210?

Answer: LCM of Numerators as per given numbers 766/93, 678/210 is

LCM of Numerators i.e. for 766,678 is 259674

GCF of denominators i.e. for 93,210 is 3.

Thus, LCM of Fractions is 86558.Finally, LCM of Fractions for 766/93, 678/210 is 86558.