Least Common Multiple of 9077/352, 8492/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9077/352, 8492/234 quickly i.e. 38540942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9077/352, 8492/234 is 38540942.

LCM(9077/352, 8492/234) = 38540942

LCM of 9077/352, 8492/234

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 9077/352,8492/234

Given numbers are 9077/352,8492/234

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 9077,8492

Least Common Multiple of Numerators i.e. LCM of 9077,8492 is 77081884.

GCF of Denominators means GCF of 352,234 as per the given fractions.

GCF of 352,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9077,8492

LCM of Fractions 9077/352,8492/234 is 38540942

Given numbers has no common factors except 1. So, there LCM is their product i.e 77081884

Least Common Multiple of 9077,8492 with GCF Formula

Least Common Multiple of 9077,8492 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 9077,8492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9077,8492) = 1

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

GCF(9077,8492) x common factors =1 x 1 = 1

LCM(9077,8492) = ( 9077 × 8492 ) / 1

LCM(9077,8492) = 77081884 / 1

LCM(9077,8492) = 77081884


Lets's calculate GCF of 352,234

2 352, 234
176, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77081884/2

Therefore the LCM of Fractions 9077/352,8492/234 is 38540942

Greatest Common Factor of 352,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,234 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 352,234 . The biggest common factor number is the GCF number.
So the greatest common factor 352,234 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9077/352, 8492/234

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 9077/352, 8492/234?

Answer: LCM of Numerators as per given numbers 9077/352, 8492/234 is

LCM of Numerators i.e. for 9077,8492 is 77081884

GCF of denominators i.e. for 352,234 is 2.

Thus, LCM of Fractions is 38540942.Finally, LCM of Fractions for 9077/352, 8492/234 is 38540942.