Least Common Multiple of 17/120, 51/674, 218/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/120, 51/674, 218/370 quickly i.e. 5559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/120, 51/674, 218/370 is 5559.

LCM(17/120, 51/674, 218/370) = 5559

LCM of 17/120, 51/674, 218/370

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 17/120,51/674,218/370

Given numbers are 17/120,51/674,218/370

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 17,51,218

Least Common Multiple of Numerators i.e. LCM of 17,51,218 is 11118.

GCF of Denominators means GCF of 120,674,370 as per the given fractions.

GCF of 120,674,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,51,218

LCM of Fractions 17/120,51/674,218/370 is 5559

17 17, 51, 218
1, 3, 218

∴ So the LCM of the given numbers is 17 x 1 x 3 x 218 = 11118

Least Common Multiple of 17,51,218 with GCF Formula

Least Common Multiple of 17,51,218 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 17,51,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,51,218) = 1

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

GCF(17,51,218) x common factors =1 x 17 = 17

LCM(17,51,218) = ( 17 × 51 × 218 ) / 17

LCM(17,51,218) = 189006 / 17

LCM(17,51,218) = 11118


Lets's calculate GCF of 120,674,370

2 120, 674, 370
60, 337, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11118/2

Therefore the LCM of Fractions 17/120,51/674,218/370 is 5559

Greatest Common Factor of 120,674,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,674,370 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 120,674,370 . The biggest common factor number is the GCF number.
So the greatest common factor 120,674,370 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 17/120, 51/674, 218/370

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 17/120, 51/674, 218/370?

Answer: LCM of Numerators as per given numbers 17/120, 51/674, 218/370 is

LCM of Numerators i.e. for 17,51,218 is 11118

GCF of denominators i.e. for 120,674,370 is 2.

Thus, LCM of Fractions is 5559.Finally, LCM of Fractions for 17/120, 51/674, 218/370 is 5559.