Least Common Multiple of 7681/456, 9210/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7681/456, 9210/459 quickly i.e. 23580670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7681/456, 9210/459 is 23580670.

LCM(7681/456, 9210/459) = 23580670

LCM of 7681/456, 9210/459

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 7681/456,9210/459

Given numbers are 7681/456,9210/459

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 7681,9210

Least Common Multiple of Numerators i.e. LCM of 7681,9210 is 70742010.

GCF of Denominators means GCF of 456,459 as per the given fractions.

GCF of 456,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7681,9210

LCM of Fractions 7681/456,9210/459 is 23580670

Given numbers has no common factors except 1. So, there LCM is their product i.e 70742010

Least Common Multiple of 7681,9210 with GCF Formula

Least Common Multiple of 7681,9210 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 7681,9210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7681,9210) = 1

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

GCF(7681,9210) x common factors =1 x 1 = 1

LCM(7681,9210) = ( 7681 × 9210 ) / 1

LCM(7681,9210) = 70742010 / 1

LCM(7681,9210) = 70742010


Lets's calculate GCF of 456,459

3 456, 459
152, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70742010/3

Therefore the LCM of Fractions 7681/456,9210/459 is 23580670

Greatest Common Factor of 456,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,459 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 456,459 . The biggest common factor number is the GCF number.
So the greatest common factor 456,459 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 7681/456, 9210/459

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 7681/456, 9210/459?

Answer: LCM of Numerators as per given numbers 7681/456, 9210/459 is

LCM of Numerators i.e. for 7681,9210 is 70742010

GCF of denominators i.e. for 456,459 is 3.

Thus, LCM of Fractions is 23580670.Finally, LCM of Fractions for 7681/456, 9210/459 is 23580670.