Least Common Multiple of 9318/670, 9216/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9318/670, 9216/202 quickly i.e. 7156224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9318/670, 9216/202 is 7156224.

LCM(9318/670, 9216/202) = 7156224

LCM of 9318/670, 9216/202

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 9318/670,9216/202

Given numbers are 9318/670,9216/202

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 9318,9216

Least Common Multiple of Numerators i.e. LCM of 9318,9216 is 14312448.

GCF of Denominators means GCF of 670,202 as per the given fractions.

GCF of 670,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9318,9216

LCM of Fractions 9318/670,9216/202 is 7156224

2 9318, 9216
3 4659, 4608
1553, 1536

∴ So the LCM of the given numbers is 2 x 3 x 1553 x 1536 = 14312448

Least Common Multiple of 9318,9216 with GCF Formula

Least Common Multiple of 9318,9216 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 9318,9216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9318,9216) = 6

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

GCF(9318,9216) x common factors =6 x 1 = 6

LCM(9318,9216) = ( 9318 × 9216 ) / 6

LCM(9318,9216) = 85874688 / 6

LCM(9318,9216) = 14312448


Lets's calculate GCF of 670,202

2 670, 202
335, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14312448/2

Therefore the LCM of Fractions 9318/670,9216/202 is 7156224

Greatest Common Factor of 670,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,202 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 670,202 . The biggest common factor number is the GCF number.
So the greatest common factor 670,202 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9318/670, 9216/202

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 9318/670, 9216/202?

Answer: LCM of Numerators as per given numbers 9318/670, 9216/202 is

LCM of Numerators i.e. for 9318,9216 is 14312448

GCF of denominators i.e. for 670,202 is 2.

Thus, LCM of Fractions is 7156224.Finally, LCM of Fractions for 9318/670, 9216/202 is 7156224.