Least Common Multiple of 11/564, 7258/1222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/564, 7258/1222 quickly i.e. 79838/94 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/564, 7258/1222 is 79838/94.

LCM(11/564, 7258/1222) = 79838/94

LCM of 11/564, 7258/1222

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 11/564,7258/1222

Given numbers are 11/564,7258/1222

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 11,7258

Least Common Multiple of Numerators i.e. LCM of 11,7258 is 79838.

GCF of Denominators means GCF of 564,1222 as per the given fractions.

GCF of 564,1222 is 94 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,7258

LCM of Fractions 11/564,7258/1222 is 79838/94

Given numbers has no common factors except 1. So, there LCM is their product i.e 79838

Least Common Multiple of 11,7258 with GCF Formula

Least Common Multiple of 11,7258 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 11,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,7258) = 1

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

GCF(11,7258) x common factors =1 x 1 = 1

LCM(11,7258) = ( 11 × 7258 ) / 1

LCM(11,7258) = 79838 / 1

LCM(11,7258) = 79838


Lets's calculate GCF of 564,1222

2 564, 1222
47 282, 611
6, 13

∴ So the GCF of the given numbers is 2 x 47 = 94

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79838/94

Therefore the LCM of Fractions 11/564,7258/1222 is 79838/94

Greatest Common Factor of 564,1222 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,1222 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 1222

List of positive integer factors of 1222 that divides 1222 without a remainder.

1,2,13,26,47,94,611,1222

Greatest Common Factor

We found the factors 564,1222 . The biggest common factor number is the GCF number.
So the greatest common factor 564,1222 is 94.


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 11/564, 7258/1222

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 11/564, 7258/1222?

Answer: LCM of Numerators as per given numbers 11/564, 7258/1222 is

LCM of Numerators i.e. for 11,7258 is 79838

GCF of denominators i.e. for 564,1222 is 94.

Thus, LCM of Fractions is 79838/94.Finally, LCM of Fractions for 11/564, 7258/1222 is 79838/94.