Least Common Multiple of 17/60, 563/67, 374/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/60, 563/67, 374/391 quickly i.e. 210562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/60, 563/67, 374/391 is 210562.

LCM(17/60, 563/67, 374/391) = 210562

LCM of 17/60, 563/67, 374/391

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 17/60,563/67,374/391

Given numbers are 17/60,563/67,374/391

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 17,563,374

Least Common Multiple of Numerators i.e. LCM of 17,563,374 is 210562.

GCF of Denominators means GCF of 60,67,391 as per the given fractions.

GCF of 60,67,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,563,374

LCM of Fractions 17/60,563/67,374/391 is 210562

17 17, 563, 374
1, 563, 22

∴ So the LCM of the given numbers is 17 x 1 x 563 x 22 = 210562

Least Common Multiple of 17,563,374 with GCF Formula

Least Common Multiple of 17,563,374 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 17,563,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,563,374) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,563,374) x common factors =1 x 17 = 17

LCM(17,563,374) = ( 17 × 563 × 374 ) / 17

LCM(17,563,374) = 3579554 / 17

LCM(17,563,374) = 210562


Lets's calculate GCF of 60,67,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210562/1

Therefore the LCM of Fractions 17/60,563/67,374/391 is 210562

Greatest Common Factor of 60,67,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,67,391 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 60,67,391 . The biggest common factor number is the GCF number.
So the greatest common factor 60,67,391 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 17/60, 563/67, 374/391

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 17/60, 563/67, 374/391?

Answer: LCM of Numerators as per given numbers 17/60, 563/67, 374/391 is

LCM of Numerators i.e. for 17,563,374 is 210562

GCF of denominators i.e. for 60,67,391 is 1.

Thus, LCM of Fractions is 210562.Finally, LCM of Fractions for 17/60, 563/67, 374/391 is 210562.