Least Common Multiple of 2217/896, 9762/8226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2217/896, 9762/8226 quickly i.e. 3607059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2217/896, 9762/8226 is 3607059.

LCM(2217/896, 9762/8226) = 3607059

LCM of 2217/896, 9762/8226

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 2217/896,9762/8226

Given numbers are 2217/896,9762/8226

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 2217,9762

Least Common Multiple of Numerators i.e. LCM of 2217,9762 is 7214118.

GCF of Denominators means GCF of 896,8226 as per the given fractions.

GCF of 896,8226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2217,9762

LCM of Fractions 2217/896,9762/8226 is 3607059

3 2217, 9762
739, 3254

∴ So the LCM of the given numbers is 3 x 739 x 3254 = 7214118

Least Common Multiple of 2217,9762 with GCF Formula

Least Common Multiple of 2217,9762 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 2217,9762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2217,9762) = 3

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

GCF(2217,9762) x common factors =3 x 1 = 3

LCM(2217,9762) = ( 2217 × 9762 ) / 3

LCM(2217,9762) = 21642354 / 3

LCM(2217,9762) = 7214118


Lets's calculate GCF of 896,8226

2 896, 8226
448, 4113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7214118/2

Therefore the LCM of Fractions 2217/896,9762/8226 is 3607059

Greatest Common Factor of 896,8226 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,8226 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 8226

List of positive integer factors of 8226 that divides 8226 without a remainder.

1,2,3,6,9,18,457,914,1371,2742,4113,8226

Greatest Common Factor

We found the factors 896,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 896,8226 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 2217/896, 9762/8226

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 2217/896, 9762/8226?

Answer: LCM of Numerators as per given numbers 2217/896, 9762/8226 is

LCM of Numerators i.e. for 2217,9762 is 7214118

GCF of denominators i.e. for 896,8226 is 2.

Thus, LCM of Fractions is 3607059.Finally, LCM of Fractions for 2217/896, 9762/8226 is 3607059.