Least Common Multiple of 65/543, 85/676, 340/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/543, 85/676, 340/978 quickly i.e. 4420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/543, 85/676, 340/978 is 4420.

LCM(65/543, 85/676, 340/978) = 4420

LCM of 65/543, 85/676, 340/978

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 65/543,85/676,340/978

Given numbers are 65/543,85/676,340/978

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 65,85,340

Least Common Multiple of Numerators i.e. LCM of 65,85,340 is 4420.

GCF of Denominators means GCF of 543,676,978 as per the given fractions.

GCF of 543,676,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,85,340

LCM of Fractions 65/543,85/676,340/978 is 4420

5 65, 85, 340
17 13, 17, 68
13, 1, 4

∴ So the LCM of the given numbers is 5 x 17 x 13 x 1 x 4 = 4420

Least Common Multiple of 65,85,340 with GCF Formula

Least Common Multiple of 65,85,340 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 65,85,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,85,340) = 5

common factors(in case of two or more numbers have common factors) = 85

GCF(65,85,340) x common factors =5 x 85 = 425

LCM(65,85,340) = ( 65 × 85 × 340 ) / 425

LCM(65,85,340) = 1878500 / 425

LCM(65,85,340) = 4420


Lets's calculate GCF of 543,676,978

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4420/1

Therefore the LCM of Fractions 65/543,85/676,340/978 is 4420

Greatest Common Factor of 543,676,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,676,978 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 543,676,978 . The biggest common factor number is the GCF number.
So the greatest common factor 543,676,978 is 1.


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 65/543, 85/676, 340/978

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 65/543, 85/676, 340/978?

Answer: LCM of Numerators as per given numbers 65/543, 85/676, 340/978 is

LCM of Numerators i.e. for 65,85,340 is 4420

GCF of denominators i.e. for 543,676,978 is 1.

Thus, LCM of Fractions is 4420.Finally, LCM of Fractions for 65/543, 85/676, 340/978 is 4420.