Least Common Multiple of 17/688, 94/434, 219/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/688, 94/434, 219/821 quickly i.e. 349962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/688, 94/434, 219/821 is 349962.

LCM(17/688, 94/434, 219/821) = 349962

LCM of 17/688, 94/434, 219/821

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 17/688,94/434,219/821

Given numbers are 17/688,94/434,219/821

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 17,94,219

Least Common Multiple of Numerators i.e. LCM of 17,94,219 is 349962.

GCF of Denominators means GCF of 688,434,821 as per the given fractions.

GCF of 688,434,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,94,219

LCM of Fractions 17/688,94/434,219/821 is 349962

Given numbers has no common factors except 1. So, there LCM is their product i.e 349962

Least Common Multiple of 17,94,219 with GCF Formula

Least Common Multiple of 17,94,219 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 17,94,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,94,219) = 1

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

GCF(17,94,219) x common factors =1 x 1 = 1

LCM(17,94,219) = ( 17 × 94 × 219 ) / 1

LCM(17,94,219) = 349962 / 1

LCM(17,94,219) = 349962


Lets's calculate GCF of 688,434,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349962/1

Therefore the LCM of Fractions 17/688,94/434,219/821 is 349962

Greatest Common Factor of 688,434,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,434,821 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 688,434,821 . The biggest common factor number is the GCF number.
So the greatest common factor 688,434,821 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 17/688, 94/434, 219/821

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 17/688, 94/434, 219/821?

Answer: LCM of Numerators as per given numbers 17/688, 94/434, 219/821 is

LCM of Numerators i.e. for 17,94,219 is 349962

GCF of denominators i.e. for 688,434,821 is 1.

Thus, LCM of Fractions is 349962.Finally, LCM of Fractions for 17/688, 94/434, 219/821 is 349962.