Least Common Multiple of 330/78, 119/86, 776/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/78, 119/86, 776/808 quickly i.e. 7618380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/78, 119/86, 776/808 is 7618380.

LCM(330/78, 119/86, 776/808) = 7618380

LCM of 330/78, 119/86, 776/808

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 330/78,119/86,776/808

Given numbers are 330/78,119/86,776/808

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 330,119,776

Least Common Multiple of Numerators i.e. LCM of 330,119,776 is 15236760.

GCF of Denominators means GCF of 78,86,808 as per the given fractions.

GCF of 78,86,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,119,776

LCM of Fractions 330/78,119/86,776/808 is 7618380

2 330, 119, 776
165, 119, 388

∴ So the LCM of the given numbers is 2 x 165 x 119 x 388 = 15236760

Least Common Multiple of 330,119,776 with GCF Formula

Least Common Multiple of 330,119,776 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 330,119,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,119,776) = 1

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

GCF(330,119,776) x common factors =1 x 2 = 2

LCM(330,119,776) = ( 330 × 119 × 776 ) / 2

LCM(330,119,776) = 30473520 / 2

LCM(330,119,776) = 15236760


Lets's calculate GCF of 78,86,808

2 78, 86, 808
39, 43, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15236760/2

Therefore the LCM of Fractions 330/78,119/86,776/808 is 7618380

Greatest Common Factor of 78,86,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,86,808 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 78,86,808 . The biggest common factor number is the GCF number.
So the greatest common factor 78,86,808 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 330/78, 119/86, 776/808

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 330/78, 119/86, 776/808?

Answer: LCM of Numerators as per given numbers 330/78, 119/86, 776/808 is

LCM of Numerators i.e. for 330,119,776 is 15236760

GCF of denominators i.e. for 78,86,808 is 2.

Thus, LCM of Fractions is 7618380.Finally, LCM of Fractions for 330/78, 119/86, 776/808 is 7618380.