Least Common Multiple of 65/351, 95/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/351, 95/559 quickly i.e. 95 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/351, 95/559 is 95.

LCM(65/351, 95/559) = 95

LCM of 65/351, 95/559

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 65/351,95/559

Given numbers are 65/351,95/559

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 65,95

Least Common Multiple of Numerators i.e. LCM of 65,95 is 1235.

GCF of Denominators means GCF of 351,559 as per the given fractions.

GCF of 351,559 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,95

LCM of Fractions 65/351,95/559 is 95

5 65, 95
13, 19

∴ So the LCM of the given numbers is 5 x 13 x 19 = 1235

Least Common Multiple of 65,95 with GCF Formula

Least Common Multiple of 65,95 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 65,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,95) = 5

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

GCF(65,95) x common factors =5 x 1 = 5

LCM(65,95) = ( 65 × 95 ) / 5

LCM(65,95) = 6175 / 5

LCM(65,95) = 1235


Lets's calculate GCF of 351,559

13 351, 559
27, 43

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235/13

Therefore the LCM of Fractions 65/351,95/559 is 95

Greatest Common Factor of 351,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,559 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 351,559 . The biggest common factor number is the GCF number.
So the greatest common factor 351,559 is 13.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/351, 95/559

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 65/351, 95/559?

Answer: LCM of Numerators as per given numbers 65/351, 95/559 is

LCM of Numerators i.e. for 65,95 is 1235

GCF of denominators i.e. for 351,559 is 13.

Thus, LCM of Fractions is 95.Finally, LCM of Fractions for 65/351, 95/559 is 95.