Least Common Multiple of 10/162, 2985/9420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/162, 2985/9420 quickly i.e. 995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/162, 2985/9420 is 995.

LCM(10/162, 2985/9420) = 995

LCM of 10/162, 2985/9420

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 10/162,2985/9420

Given numbers are 10/162,2985/9420

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 10,2985

Least Common Multiple of Numerators i.e. LCM of 10,2985 is 5970.

GCF of Denominators means GCF of 162,9420 as per the given fractions.

GCF of 162,9420 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,2985

LCM of Fractions 10/162,2985/9420 is 995

5 10, 2985
2, 597

∴ So the LCM of the given numbers is 5 x 2 x 597 = 5970

Least Common Multiple of 10,2985 with GCF Formula

Least Common Multiple of 10,2985 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 10,2985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,2985) = 5

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

GCF(10,2985) x common factors =5 x 1 = 5

LCM(10,2985) = ( 10 × 2985 ) / 5

LCM(10,2985) = 29850 / 5

LCM(10,2985) = 5970


Lets's calculate GCF of 162,9420

2 162, 9420
3 81, 4710
27, 1570

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5970/6

Therefore the LCM of Fractions 10/162,2985/9420 is 995

Greatest Common Factor of 162,9420 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,9420 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420

Greatest Common Factor

We found the factors 162,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 162,9420 is 6.


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 10/162, 2985/9420

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 10/162, 2985/9420?

Answer: LCM of Numerators as per given numbers 10/162, 2985/9420 is

LCM of Numerators i.e. for 10,2985 is 5970

GCF of denominators i.e. for 162,9420 is 6.

Thus, LCM of Fractions is 995.Finally, LCM of Fractions for 10/162, 2985/9420 is 995.