Least Common Multiple of 18/34, 117/40, 689/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/34, 117/40, 689/974 quickly i.e. 6201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/34, 117/40, 689/974 is 6201.

LCM(18/34, 117/40, 689/974) = 6201

LCM of 18/34, 117/40, 689/974

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 18/34,117/40,689/974

Given numbers are 18/34,117/40,689/974

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 18,117,689

Least Common Multiple of Numerators i.e. LCM of 18,117,689 is 12402.

GCF of Denominators means GCF of 34,40,974 as per the given fractions.

GCF of 34,40,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,117,689

LCM of Fractions 18/34,117/40,689/974 is 6201

3 18, 117, 689
3 6, 39, 689
13 2, 13, 689
2, 1, 53

∴ So the LCM of the given numbers is 3 x 3 x 13 x 2 x 1 x 53 = 12402

Least Common Multiple of 18,117,689 with GCF Formula

Least Common Multiple of 18,117,689 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 18,117,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,117,689) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(18,117,689) x common factors =1 x 117 = 117

LCM(18,117,689) = ( 18 × 117 × 689 ) / 117

LCM(18,117,689) = 1451034 / 117

LCM(18,117,689) = 12402


Lets's calculate GCF of 34,40,974

2 34, 40, 974
17, 20, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12402/2

Therefore the LCM of Fractions 18/34,117/40,689/974 is 6201

Greatest Common Factor of 34,40,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,40,974 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 34,40,974 . The biggest common factor number is the GCF number.
So the greatest common factor 34,40,974 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 18/34, 117/40, 689/974

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 18/34, 117/40, 689/974?

Answer: LCM of Numerators as per given numbers 18/34, 117/40, 689/974 is

LCM of Numerators i.e. for 18,117,689 is 12402

GCF of denominators i.e. for 34,40,974 is 2.

Thus, LCM of Fractions is 6201.Finally, LCM of Fractions for 18/34, 117/40, 689/974 is 6201.