Least Common Multiple of 10/336, 17/916, 602/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/336, 17/916, 602/694 quickly i.e. 25585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/336, 17/916, 602/694 is 25585.

LCM(10/336, 17/916, 602/694) = 25585

LCM of 10/336, 17/916, 602/694

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 10/336,17/916,602/694

Given numbers are 10/336,17/916,602/694

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 10,17,602

Least Common Multiple of Numerators i.e. LCM of 10,17,602 is 51170.

GCF of Denominators means GCF of 336,916,694 as per the given fractions.

GCF of 336,916,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,17,602

LCM of Fractions 10/336,17/916,602/694 is 25585

2 10, 17, 602
5, 17, 301

∴ So the LCM of the given numbers is 2 x 5 x 17 x 301 = 51170

Least Common Multiple of 10,17,602 with GCF Formula

Least Common Multiple of 10,17,602 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 10,17,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,17,602) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,17,602) x common factors =1 x 2 = 2

LCM(10,17,602) = ( 10 × 17 × 602 ) / 2

LCM(10,17,602) = 102340 / 2

LCM(10,17,602) = 51170


Lets's calculate GCF of 336,916,694

2 336, 916, 694
168, 458, 347

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51170/2

Therefore the LCM of Fractions 10/336,17/916,602/694 is 25585

Greatest Common Factor of 336,916,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,916,694 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 336,916,694 . The biggest common factor number is the GCF number.
So the greatest common factor 336,916,694 is 2.


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 10/336, 17/916, 602/694

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 10/336, 17/916, 602/694?

Answer: LCM of Numerators as per given numbers 10/336, 17/916, 602/694 is

LCM of Numerators i.e. for 10,17,602 is 51170

GCF of denominators i.e. for 336,916,694 is 2.

Thus, LCM of Fractions is 25585.Finally, LCM of Fractions for 10/336, 17/916, 602/694 is 25585.