Least Common Multiple of 80/702, 51/964, 569/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/702, 51/964, 569/217 quickly i.e. 2321520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/702, 51/964, 569/217 is 2321520.

LCM(80/702, 51/964, 569/217) = 2321520

LCM of 80/702, 51/964, 569/217

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 80/702,51/964,569/217

Given numbers are 80/702,51/964,569/217

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 80,51,569

Least Common Multiple of Numerators i.e. LCM of 80,51,569 is 2321520.

GCF of Denominators means GCF of 702,964,217 as per the given fractions.

GCF of 702,964,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,51,569

LCM of Fractions 80/702,51/964,569/217 is 2321520

Given numbers has no common factors except 1. So, there LCM is their product i.e 2321520

Least Common Multiple of 80,51,569 with GCF Formula

Least Common Multiple of 80,51,569 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 80,51,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,51,569) = 1

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

GCF(80,51,569) x common factors =1 x 1 = 1

LCM(80,51,569) = ( 80 × 51 × 569 ) / 1

LCM(80,51,569) = 2321520 / 1

LCM(80,51,569) = 2321520


Lets's calculate GCF of 702,964,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2321520/1

Therefore the LCM of Fractions 80/702,51/964,569/217 is 2321520

Greatest Common Factor of 702,964,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,964,217 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 702,964,217 . The biggest common factor number is the GCF number.
So the greatest common factor 702,964,217 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 80/702, 51/964, 569/217

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 80/702, 51/964, 569/217?

Answer: LCM of Numerators as per given numbers 80/702, 51/964, 569/217 is

LCM of Numerators i.e. for 80,51,569 is 2321520

GCF of denominators i.e. for 702,964,217 is 1.

Thus, LCM of Fractions is 2321520.Finally, LCM of Fractions for 80/702, 51/964, 569/217 is 2321520.