Least Common Multiple of 7492/784, 9236/8290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7492/784, 9236/8290 quickly i.e. 8649514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7492/784, 9236/8290 is 8649514.

LCM(7492/784, 9236/8290) = 8649514

LCM of 7492/784, 9236/8290

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 7492/784,9236/8290

Given numbers are 7492/784,9236/8290

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 7492,9236

Least Common Multiple of Numerators i.e. LCM of 7492,9236 is 17299028.

GCF of Denominators means GCF of 784,8290 as per the given fractions.

GCF of 784,8290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7492,9236

LCM of Fractions 7492/784,9236/8290 is 8649514

2 7492, 9236
2 3746, 4618
1873, 2309

∴ So the LCM of the given numbers is 2 x 2 x 1873 x 2309 = 17299028

Least Common Multiple of 7492,9236 with GCF Formula

Least Common Multiple of 7492,9236 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 7492,9236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7492,9236) = 4

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

GCF(7492,9236) x common factors =4 x 1 = 4

LCM(7492,9236) = ( 7492 × 9236 ) / 4

LCM(7492,9236) = 69196112 / 4

LCM(7492,9236) = 17299028


Lets's calculate GCF of 784,8290

2 784, 8290
392, 4145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17299028/2

Therefore the LCM of Fractions 7492/784,9236/8290 is 8649514

Greatest Common Factor of 784,8290 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,8290 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1,2,5,10,829,1658,4145,8290

Greatest Common Factor

We found the factors 784,8290 . The biggest common factor number is the GCF number.
So the greatest common factor 784,8290 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 7492/784, 9236/8290

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 7492/784, 9236/8290?

Answer: LCM of Numerators as per given numbers 7492/784, 9236/8290 is

LCM of Numerators i.e. for 7492,9236 is 17299028

GCF of denominators i.e. for 784,8290 is 2.

Thus, LCM of Fractions is 8649514.Finally, LCM of Fractions for 7492/784, 9236/8290 is 8649514.