Least Common Multiple of 8456/685, 8810/9791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8456/685, 8810/9791 quickly i.e. 37248680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8456/685, 8810/9791 is 37248680.

LCM(8456/685, 8810/9791) = 37248680

LCM of 8456/685, 8810/9791

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 8456/685,8810/9791

Given numbers are 8456/685,8810/9791

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 8456,8810

Least Common Multiple of Numerators i.e. LCM of 8456,8810 is 37248680.

GCF of Denominators means GCF of 685,9791 as per the given fractions.

GCF of 685,9791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8456,8810

LCM of Fractions 8456/685,8810/9791 is 37248680

2 8456, 8810
4228, 4405

∴ So the LCM of the given numbers is 2 x 4228 x 4405 = 37248680

Least Common Multiple of 8456,8810 with GCF Formula

Least Common Multiple of 8456,8810 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 8456,8810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8456,8810) = 2

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

GCF(8456,8810) x common factors =2 x 1 = 2

LCM(8456,8810) = ( 8456 × 8810 ) / 2

LCM(8456,8810) = 74497360 / 2

LCM(8456,8810) = 37248680


Lets's calculate GCF of 685,9791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37248680/1

Therefore the LCM of Fractions 8456/685,8810/9791 is 37248680

Greatest Common Factor of 685,9791 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,9791 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 9791

List of positive integer factors of 9791 that divides 9791 without a remainder.

1,9791

Greatest Common Factor

We found the factors 685,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 685,9791 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8456/685, 8810/9791

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 8456/685, 8810/9791?

Answer: LCM of Numerators as per given numbers 8456/685, 8810/9791 is

LCM of Numerators i.e. for 8456,8810 is 37248680

GCF of denominators i.e. for 685,9791 is 1.

Thus, LCM of Fractions is 37248680.Finally, LCM of Fractions for 8456/685, 8810/9791 is 37248680.