Least Common Multiple of 7156/114, 7740/9207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7156/114, 7740/9207 quickly i.e. 4615620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7156/114, 7740/9207 is 4615620.

LCM(7156/114, 7740/9207) = 4615620

LCM of 7156/114, 7740/9207

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 7156/114,7740/9207

Given numbers are 7156/114,7740/9207

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 7156,7740

Least Common Multiple of Numerators i.e. LCM of 7156,7740 is 13846860.

GCF of Denominators means GCF of 114,9207 as per the given fractions.

GCF of 114,9207 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7156,7740

LCM of Fractions 7156/114,7740/9207 is 4615620

2 7156, 7740
2 3578, 3870
1789, 1935

∴ So the LCM of the given numbers is 2 x 2 x 1789 x 1935 = 13846860

Least Common Multiple of 7156,7740 with GCF Formula

Least Common Multiple of 7156,7740 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 7156,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7156,7740) = 4

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

GCF(7156,7740) x common factors =4 x 1 = 4

LCM(7156,7740) = ( 7156 × 7740 ) / 4

LCM(7156,7740) = 55387440 / 4

LCM(7156,7740) = 13846860


Lets's calculate GCF of 114,9207

3 114, 9207
38, 3069

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13846860/3

Therefore the LCM of Fractions 7156/114,7740/9207 is 4615620

Greatest Common Factor of 114,9207 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,9207 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Greatest Common Factor

We found the factors 114,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 114,9207 is 3.


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 7156/114, 7740/9207

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 7156/114, 7740/9207?

Answer: LCM of Numerators as per given numbers 7156/114, 7740/9207 is

LCM of Numerators i.e. for 7156,7740 is 13846860

GCF of denominators i.e. for 114,9207 is 3.

Thus, LCM of Fractions is 4615620.Finally, LCM of Fractions for 7156/114, 7740/9207 is 4615620.