Least Common Multiple of 7208/416, 9156/7123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7208/416, 9156/7123 quickly i.e. 16499112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7208/416, 9156/7123 is 16499112.

LCM(7208/416, 9156/7123) = 16499112

LCM of 7208/416, 9156/7123

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 7208/416,9156/7123

Given numbers are 7208/416,9156/7123

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 7208,9156

Least Common Multiple of Numerators i.e. LCM of 7208,9156 is 16499112.

GCF of Denominators means GCF of 416,7123 as per the given fractions.

GCF of 416,7123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7208,9156

LCM of Fractions 7208/416,9156/7123 is 16499112

2 7208, 9156
2 3604, 4578
1802, 2289

∴ So the LCM of the given numbers is 2 x 2 x 1802 x 2289 = 16499112

Least Common Multiple of 7208,9156 with GCF Formula

Least Common Multiple of 7208,9156 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 7208,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7208,9156) = 4

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

GCF(7208,9156) x common factors =4 x 1 = 4

LCM(7208,9156) = ( 7208 × 9156 ) / 4

LCM(7208,9156) = 65996448 / 4

LCM(7208,9156) = 16499112


Lets's calculate GCF of 416,7123

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16499112/1

Therefore the LCM of Fractions 7208/416,9156/7123 is 16499112

Greatest Common Factor of 416,7123 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,7123 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1,17,419,7123

Greatest Common Factor

We found the factors 416,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 416,7123 is 1.


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 7208/416, 9156/7123

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 7208/416, 9156/7123?

Answer: LCM of Numerators as per given numbers 7208/416, 9156/7123 is

LCM of Numerators i.e. for 7208,9156 is 16499112

GCF of denominators i.e. for 416,7123 is 1.

Thus, LCM of Fractions is 16499112.Finally, LCM of Fractions for 7208/416, 9156/7123 is 16499112.