Least Common Multiple of 6/780, 45/598, 11/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/780, 45/598, 11/814 quickly i.e. 495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/780, 45/598, 11/814 is 495.

LCM(6/780, 45/598, 11/814) = 495

LCM of 6/780, 45/598, 11/814

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 6/780,45/598,11/814

Given numbers are 6/780,45/598,11/814

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 6,45,11

Least Common Multiple of Numerators i.e. LCM of 6,45,11 is 990.

GCF of Denominators means GCF of 780,598,814 as per the given fractions.

GCF of 780,598,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,45,11

LCM of Fractions 6/780,45/598,11/814 is 495

3 6, 45, 11
2, 15, 11

∴ So the LCM of the given numbers is 3 x 2 x 15 x 11 = 990

Least Common Multiple of 6,45,11 with GCF Formula

Least Common Multiple of 6,45,11 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 6,45,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,45,11) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(6,45,11) x common factors =1 x 3 = 3

LCM(6,45,11) = ( 6 × 45 × 11 ) / 3

LCM(6,45,11) = 2970 / 3

LCM(6,45,11) = 990


Lets's calculate GCF of 780,598,814

2 780, 598, 814
390, 299, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 990/2

Therefore the LCM of Fractions 6/780,45/598,11/814 is 495

Greatest Common Factor of 780,598,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,598,814 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 814

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

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

Greatest Common Factor

We found the factors 780,598,814 . The biggest common factor number is the GCF number.
So the greatest common factor 780,598,814 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 6/780, 45/598, 11/814

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 6/780, 45/598, 11/814?

Answer: LCM of Numerators as per given numbers 6/780, 45/598, 11/814 is

LCM of Numerators i.e. for 6,45,11 is 990

GCF of denominators i.e. for 780,598,814 is 2.

Thus, LCM of Fractions is 495.Finally, LCM of Fractions for 6/780, 45/598, 11/814 is 495.