Least Common Multiple of 34/120, 9570/3998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/120, 9570/3998 quickly i.e. 81345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/120, 9570/3998 is 81345.

LCM(34/120, 9570/3998) = 81345

LCM of 34/120, 9570/3998

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 34/120,9570/3998

Given numbers are 34/120,9570/3998

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 34,9570

Least Common Multiple of Numerators i.e. LCM of 34,9570 is 162690.

GCF of Denominators means GCF of 120,3998 as per the given fractions.

GCF of 120,3998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,9570

LCM of Fractions 34/120,9570/3998 is 81345

2 34, 9570
17, 4785

∴ So the LCM of the given numbers is 2 x 17 x 4785 = 162690

Least Common Multiple of 34,9570 with GCF Formula

Least Common Multiple of 34,9570 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 34,9570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,9570) = 2

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

GCF(34,9570) x common factors =2 x 1 = 2

LCM(34,9570) = ( 34 × 9570 ) / 2

LCM(34,9570) = 325380 / 2

LCM(34,9570) = 162690


Lets's calculate GCF of 120,3998

2 120, 3998
60, 1999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162690/2

Therefore the LCM of Fractions 34/120,9570/3998 is 81345

Greatest Common Factor of 120,3998 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,3998 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 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

Greatest Common Factor

We found the factors 120,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 120,3998 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 34/120, 9570/3998

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 34/120, 9570/3998?

Answer: LCM of Numerators as per given numbers 34/120, 9570/3998 is

LCM of Numerators i.e. for 34,9570 is 162690

GCF of denominators i.e. for 120,3998 is 2.

Thus, LCM of Fractions is 81345.Finally, LCM of Fractions for 34/120, 9570/3998 is 81345.