Least Common Multiple of 780/66, 910/8353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/66, 910/8353 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/66, 910/8353 is 5460.

LCM(780/66, 910/8353) = 5460

LCM of 780/66, 910/8353

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 780/66,910/8353

Given numbers are 780/66,910/8353

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 780,910

Least Common Multiple of Numerators i.e. LCM of 780,910 is 5460.

GCF of Denominators means GCF of 66,8353 as per the given fractions.

GCF of 66,8353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,910

LCM of Fractions 780/66,910/8353 is 5460

2 780, 910
5 390, 455
13 78, 91
6, 7

∴ So the LCM of the given numbers is 2 x 5 x 13 x 6 x 7 = 5460

Least Common Multiple of 780,910 with GCF Formula

Least Common Multiple of 780,910 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 780,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,910) = 130

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

GCF(780,910) x common factors =130 x 1 = 130

LCM(780,910) = ( 780 × 910 ) / 130

LCM(780,910) = 709800 / 130

LCM(780,910) = 5460


Lets's calculate GCF of 66,8353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/1

Therefore the LCM of Fractions 780/66,910/8353 is 5460

Greatest Common Factor of 66,8353 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,8353 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 8353

List of positive integer factors of 8353 that divides 8353 without a remainder.

1,8353

Greatest Common Factor

We found the factors 66,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8353 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 780/66, 910/8353

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 780/66, 910/8353?

Answer: LCM of Numerators as per given numbers 780/66, 910/8353 is

LCM of Numerators i.e. for 780,910 is 5460

GCF of denominators i.e. for 66,8353 is 1.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 780/66, 910/8353 is 5460.