Least Common Multiple of 7785/817, 7213/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7785/817, 7213/342 quickly i.e. 56153205/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7785/817, 7213/342 is 56153205/19.

LCM(7785/817, 7213/342) = 56153205/19

LCM of 7785/817, 7213/342

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 7785/817,7213/342

Given numbers are 7785/817,7213/342

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 7785,7213

Least Common Multiple of Numerators i.e. LCM of 7785,7213 is 56153205.

GCF of Denominators means GCF of 817,342 as per the given fractions.

GCF of 817,342 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7785,7213

LCM of Fractions 7785/817,7213/342 is 56153205/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 56153205

Least Common Multiple of 7785,7213 with GCF Formula

Least Common Multiple of 7785,7213 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 7785,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7785,7213) = 1

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

GCF(7785,7213) x common factors =1 x 1 = 1

LCM(7785,7213) = ( 7785 × 7213 ) / 1

LCM(7785,7213) = 56153205 / 1

LCM(7785,7213) = 56153205


Lets's calculate GCF of 817,342

19 817, 342
43, 18

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56153205/19

Therefore the LCM of Fractions 7785/817,7213/342 is 56153205/19

Greatest Common Factor of 817,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,342 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 817,342 . The biggest common factor number is the GCF number.
So the greatest common factor 817,342 is 19.


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 7785/817, 7213/342

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 7785/817, 7213/342?

Answer: LCM of Numerators as per given numbers 7785/817, 7213/342 is

LCM of Numerators i.e. for 7785,7213 is 56153205

GCF of denominators i.e. for 817,342 is 19.

Thus, LCM of Fractions is 56153205/19.Finally, LCM of Fractions for 7785/817, 7213/342 is 56153205/19.