Least Common Multiple of 65/294, 43/918, 585/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/294, 43/918, 585/954 quickly i.e. 25155/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/294, 43/918, 585/954 is 25155/6.

LCM(65/294, 43/918, 585/954) = 25155/6

LCM of 65/294, 43/918, 585/954

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 65/294,43/918,585/954

Given numbers are 65/294,43/918,585/954

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 65,43,585

Least Common Multiple of Numerators i.e. LCM of 65,43,585 is 25155.

GCF of Denominators means GCF of 294,918,954 as per the given fractions.

GCF of 294,918,954 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,43,585

LCM of Fractions 65/294,43/918,585/954 is 25155/6

5 65, 43, 585
13 13, 43, 117
1, 43, 9

∴ So the LCM of the given numbers is 5 x 13 x 1 x 43 x 9 = 25155

Least Common Multiple of 65,43,585 with GCF Formula

Least Common Multiple of 65,43,585 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 65,43,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,43,585) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,43,585) x common factors =1 x 65 = 65

LCM(65,43,585) = ( 65 × 43 × 585 ) / 65

LCM(65,43,585) = 1635075 / 65

LCM(65,43,585) = 25155


Lets's calculate GCF of 294,918,954

2 294, 918, 954
3 147, 459, 477
49, 153, 159

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25155/6

Therefore the LCM of Fractions 65/294,43/918,585/954 is 25155/6

Greatest Common Factor of 294,918,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,918,954 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 294,918,954 . The biggest common factor number is the GCF number.
So the greatest common factor 294,918,954 is 6.


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 65/294, 43/918, 585/954

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 65/294, 43/918, 585/954?

Answer: LCM of Numerators as per given numbers 65/294, 43/918, 585/954 is

LCM of Numerators i.e. for 65,43,585 is 25155

GCF of denominators i.e. for 294,918,954 is 6.

Thus, LCM of Fractions is 25155/6.Finally, LCM of Fractions for 65/294, 43/918, 585/954 is 25155/6.