Least Common Multiple of 659/340, 6945/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/340, 6945/901 quickly i.e. 4576755/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/340, 6945/901 is 4576755/17.

LCM(659/340, 6945/901) = 4576755/17

LCM of 659/340, 6945/901

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 659/340,6945/901

Given numbers are 659/340,6945/901

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 659,6945

Least Common Multiple of Numerators i.e. LCM of 659,6945 is 4576755.

GCF of Denominators means GCF of 340,901 as per the given fractions.

GCF of 340,901 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,6945

LCM of Fractions 659/340,6945/901 is 4576755/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 4576755

Least Common Multiple of 659,6945 with GCF Formula

Least Common Multiple of 659,6945 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 659,6945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,6945) = 1

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

GCF(659,6945) x common factors =1 x 1 = 1

LCM(659,6945) = ( 659 × 6945 ) / 1

LCM(659,6945) = 4576755 / 1

LCM(659,6945) = 4576755


Lets's calculate GCF of 340,901

17 340, 901
20, 53

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4576755/17

Therefore the LCM of Fractions 659/340,6945/901 is 4576755/17

Greatest Common Factor of 340,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,901 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 340,901 . The biggest common factor number is the GCF number.
So the greatest common factor 340,901 is 17.


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 659/340, 6945/901

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 659/340, 6945/901?

Answer: LCM of Numerators as per given numbers 659/340, 6945/901 is

LCM of Numerators i.e. for 659,6945 is 4576755

GCF of denominators i.e. for 340,901 is 17.

Thus, LCM of Fractions is 4576755/17.Finally, LCM of Fractions for 659/340, 6945/901 is 4576755/17.