Least Common Multiple of 9310/220, 6405/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9310/220, 6405/891 quickly i.e. 1703730/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9310/220, 6405/891 is 1703730/11.

LCM(9310/220, 6405/891) = 1703730/11

LCM of 9310/220, 6405/891

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 9310/220,6405/891

Given numbers are 9310/220,6405/891

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 9310,6405

Least Common Multiple of Numerators i.e. LCM of 9310,6405 is 1703730.

GCF of Denominators means GCF of 220,891 as per the given fractions.

GCF of 220,891 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9310,6405

LCM of Fractions 9310/220,6405/891 is 1703730/11

5 9310, 6405
7 1862, 1281
266, 183

∴ So the LCM of the given numbers is 5 x 7 x 266 x 183 = 1703730

Least Common Multiple of 9310,6405 with GCF Formula

Least Common Multiple of 9310,6405 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 9310,6405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9310,6405) = 35

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

GCF(9310,6405) x common factors =35 x 1 = 35

LCM(9310,6405) = ( 9310 × 6405 ) / 35

LCM(9310,6405) = 59630550 / 35

LCM(9310,6405) = 1703730


Lets's calculate GCF of 220,891

11 220, 891
20, 81

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1703730/11

Therefore the LCM of Fractions 9310/220,6405/891 is 1703730/11

Greatest Common Factor of 220,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,891 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 220,891 . The biggest common factor number is the GCF number.
So the greatest common factor 220,891 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9310/220, 6405/891

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 9310/220, 6405/891?

Answer: LCM of Numerators as per given numbers 9310/220, 6405/891 is

LCM of Numerators i.e. for 9310,6405 is 1703730

GCF of denominators i.e. for 220,891 is 11.

Thus, LCM of Fractions is 1703730/11.Finally, LCM of Fractions for 9310/220, 6405/891 is 1703730/11.