Least Common Multiple of 34/120, 93/646, 620/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/120, 93/646, 620/158 quickly i.e. 15810 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, 93/646, 620/158 is 15810.

LCM(34/120, 93/646, 620/158) = 15810

LCM of 34/120, 93/646, 620/158

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 34/120,93/646,620/158

Given numbers are 34/120,93/646,620/158

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 34,93,620

Least Common Multiple of Numerators i.e. LCM of 34,93,620 is 31620.

GCF of Denominators means GCF of 120,646,158 as per the given fractions.

GCF of 120,646,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,93,620

LCM of Fractions 34/120,93/646,620/158 is 15810

2 34, 93, 620
31 17, 93, 310
17, 3, 10

∴ So the LCM of the given numbers is 2 x 31 x 17 x 3 x 10 = 31620

Least Common Multiple of 34,93,620 with GCF Formula

Least Common Multiple of 34,93,620 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 34,93,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,93,620) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(34,93,620) x common factors =1 x 62 = 62

LCM(34,93,620) = ( 34 × 93 × 620 ) / 62

LCM(34,93,620) = 1960440 / 62

LCM(34,93,620) = 31620


Lets's calculate GCF of 120,646,158

2 120, 646, 158
60, 323, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31620/2

Therefore the LCM of Fractions 34/120,93/646,620/158 is 15810

Greatest Common Factor of 120,646,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,646,158 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 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 120,646,158 . The biggest common factor number is the GCF number.
So the greatest common factor 120,646,158 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, 93/646, 620/158

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, 93/646, 620/158?

Answer: LCM of Numerators as per given numbers 34/120, 93/646, 620/158 is

LCM of Numerators i.e. for 34,93,620 is 31620

GCF of denominators i.e. for 120,646,158 is 2.

Thus, LCM of Fractions is 15810.Finally, LCM of Fractions for 34/120, 93/646, 620/158 is 15810.