Least Common Multiple of 7659/34, 3370/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7659/34, 3370/116 quickly i.e. 12905415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7659/34, 3370/116 is 12905415.

LCM(7659/34, 3370/116) = 12905415

LCM of 7659/34, 3370/116

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 7659/34,3370/116

Given numbers are 7659/34,3370/116

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 7659,3370

Least Common Multiple of Numerators i.e. LCM of 7659,3370 is 25810830.

GCF of Denominators means GCF of 34,116 as per the given fractions.

GCF of 34,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7659,3370

LCM of Fractions 7659/34,3370/116 is 12905415

Given numbers has no common factors except 1. So, there LCM is their product i.e 25810830

Least Common Multiple of 7659,3370 with GCF Formula

Least Common Multiple of 7659,3370 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 7659,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7659,3370) = 1

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

GCF(7659,3370) x common factors =1 x 1 = 1

LCM(7659,3370) = ( 7659 × 3370 ) / 1

LCM(7659,3370) = 25810830 / 1

LCM(7659,3370) = 25810830


Lets's calculate GCF of 34,116

2 34, 116
17, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25810830/2

Therefore the LCM of Fractions 7659/34,3370/116 is 12905415

Greatest Common Factor of 34,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,116 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 34,116 . The biggest common factor number is the GCF number.
So the greatest common factor 34,116 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 7659/34, 3370/116

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 7659/34, 3370/116?

Answer: LCM of Numerators as per given numbers 7659/34, 3370/116 is

LCM of Numerators i.e. for 7659,3370 is 25810830

GCF of denominators i.e. for 34,116 is 2.

Thus, LCM of Fractions is 12905415.Finally, LCM of Fractions for 7659/34, 3370/116 is 12905415.