Least Common Multiple of 9122/361, 9362/7904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9122/361, 9362/7904 quickly i.e. 42700082/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9122/361, 9362/7904 is 42700082/19.

LCM(9122/361, 9362/7904) = 42700082/19

LCM of 9122/361, 9362/7904

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 9122/361,9362/7904

Given numbers are 9122/361,9362/7904

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 9122,9362

Least Common Multiple of Numerators i.e. LCM of 9122,9362 is 42700082.

GCF of Denominators means GCF of 361,7904 as per the given fractions.

GCF of 361,7904 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9122,9362

LCM of Fractions 9122/361,9362/7904 is 42700082/19

2 9122, 9362
4561, 4681

∴ So the LCM of the given numbers is 2 x 4561 x 4681 = 42700082

Least Common Multiple of 9122,9362 with GCF Formula

Least Common Multiple of 9122,9362 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 9122,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9122,9362) = 2

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

GCF(9122,9362) x common factors =2 x 1 = 2

LCM(9122,9362) = ( 9122 × 9362 ) / 2

LCM(9122,9362) = 85400164 / 2

LCM(9122,9362) = 42700082


Lets's calculate GCF of 361,7904

19 361, 7904
19, 416

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42700082/19

Therefore the LCM of Fractions 9122/361,9362/7904 is 42700082/19

Greatest Common Factor of 361,7904 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,7904 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 7904

List of positive integer factors of 7904 that divides 7904 without a remainder.

1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904

Greatest Common Factor

We found the factors 361,7904 . The biggest common factor number is the GCF number.
So the greatest common factor 361,7904 is 19.


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 9122/361, 9362/7904

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 9122/361, 9362/7904?

Answer: LCM of Numerators as per given numbers 9122/361, 9362/7904 is

LCM of Numerators i.e. for 9122,9362 is 42700082

GCF of denominators i.e. for 361,7904 is 19.

Thus, LCM of Fractions is 42700082/19.Finally, LCM of Fractions for 9122/361, 9362/7904 is 42700082/19.