Least Common Multiple of 67/295, 65/717, 820/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/295, 65/717, 820/457 quickly i.e. 714220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/295, 65/717, 820/457 is 714220.

LCM(67/295, 65/717, 820/457) = 714220

LCM of 67/295, 65/717, 820/457

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 67/295,65/717,820/457

Given numbers are 67/295,65/717,820/457

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 67,65,820

Least Common Multiple of Numerators i.e. LCM of 67,65,820 is 714220.

GCF of Denominators means GCF of 295,717,457 as per the given fractions.

GCF of 295,717,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,65,820

LCM of Fractions 67/295,65/717,820/457 is 714220

5 67, 65, 820
67, 13, 164

∴ So the LCM of the given numbers is 5 x 67 x 13 x 164 = 714220

Least Common Multiple of 67,65,820 with GCF Formula

Least Common Multiple of 67,65,820 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 67,65,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,65,820) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(67,65,820) x common factors =1 x 5 = 5

LCM(67,65,820) = ( 67 × 65 × 820 ) / 5

LCM(67,65,820) = 3571100 / 5

LCM(67,65,820) = 714220


Lets's calculate GCF of 295,717,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714220/1

Therefore the LCM of Fractions 67/295,65/717,820/457 is 714220

Greatest Common Factor of 295,717,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,717,457 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 295,717,457 . The biggest common factor number is the GCF number.
So the greatest common factor 295,717,457 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 67/295, 65/717, 820/457

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 67/295, 65/717, 820/457?

Answer: LCM of Numerators as per given numbers 67/295, 65/717, 820/457 is

LCM of Numerators i.e. for 67,65,820 is 714220

GCF of denominators i.e. for 295,717,457 is 1.

Thus, LCM of Fractions is 714220.Finally, LCM of Fractions for 67/295, 65/717, 820/457 is 714220.