Least Common Multiple of 9/210, 67/318, 74/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/210, 67/318, 74/982 quickly i.e. 22311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/210, 67/318, 74/982 is 22311.

LCM(9/210, 67/318, 74/982) = 22311

LCM of 9/210, 67/318, 74/982

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 9/210,67/318,74/982

Given numbers are 9/210,67/318,74/982

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 9,67,74

Least Common Multiple of Numerators i.e. LCM of 9,67,74 is 44622.

GCF of Denominators means GCF of 210,318,982 as per the given fractions.

GCF of 210,318,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,67,74

LCM of Fractions 9/210,67/318,74/982 is 22311

Given numbers has no common factors except 1. So, there LCM is their product i.e 44622

Least Common Multiple of 9,67,74 with GCF Formula

Least Common Multiple of 9,67,74 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 9,67,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,67,74) = 1

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

GCF(9,67,74) x common factors =1 x 1 = 1

LCM(9,67,74) = ( 9 × 67 × 74 ) / 1

LCM(9,67,74) = 44622 / 1

LCM(9,67,74) = 44622


Lets's calculate GCF of 210,318,982

2 210, 318, 982
105, 159, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44622/2

Therefore the LCM of Fractions 9/210,67/318,74/982 is 22311

Greatest Common Factor of 210,318,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,318,982 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 210,318,982 . The biggest common factor number is the GCF number.
So the greatest common factor 210,318,982 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 9/210, 67/318, 74/982

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 9/210, 67/318, 74/982?

Answer: LCM of Numerators as per given numbers 9/210, 67/318, 74/982 is

LCM of Numerators i.e. for 9,67,74 is 44622

GCF of denominators i.e. for 210,318,982 is 2.

Thus, LCM of Fractions is 22311.Finally, LCM of Fractions for 9/210, 67/318, 74/982 is 22311.