Least Common Multiple of 11/66, 41/90, 92/94, 48/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/66, 41/90, 92/94, 48/619 quickly i.e. 497904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/66, 41/90, 92/94, 48/619 is 497904.

LCM(11/66, 41/90, 92/94, 48/619) = 497904

LCM of 11/66, 41/90, 92/94, 48/619

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 11/66,41/90,92/94,48/619

Given numbers are 11/66,41/90,92/94,48/619

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 11,41,92,48

Least Common Multiple of Numerators i.e. LCM of 11,41,92,48 is 497904.

GCF of Denominators means GCF of 66,90,94,619 as per the given fractions.

GCF of 66,90,94,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,41,92,48

LCM of Fractions 11/66,41/90,92/94,48/619 is 497904

2 11, 41, 92, 48
2 11, 41, 46, 24
11, 41, 23, 12

∴ So the LCM of the given numbers is 2 x 2 x 11 x 41 x 23 x 12 = 497904

Least Common Multiple of 11,41,92,48 with GCF Formula

Least Common Multiple of 11,41,92,48 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 11,41,92,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,41,92,48) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(11,41,92,48) x common factors =1 x 4 = 4

LCM(11,41,92,48) = ( 11 × 41 × 92 × 48 ) / 4

LCM(11,41,92,48) = 1991616 / 4

LCM(11,41,92,48) = 497904


Lets's calculate GCF of 66,90,94,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497904/1

Therefore the LCM of Fractions 11/66,41/90,92/94,48/619 is 497904

Greatest Common Factor of 66,90,94,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,90,94,619 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 66,90,94,619 . The biggest common factor number is the GCF number.
So the greatest common factor 66,90,94,619 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/66, 41/90, 92/94, 48/619

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 11/66, 41/90, 92/94, 48/619?

Answer: LCM of Numerators as per given numbers 11/66, 41/90, 92/94, 48/619 is

LCM of Numerators i.e. for 11,41,92,48 is 497904

GCF of denominators i.e. for 66,90,94,619 is 1.

Thus, LCM of Fractions is 497904.Finally, LCM of Fractions for 11/66, 41/90, 92/94, 48/619 is 497904.