Least Common Multiple of 55/94, 44/65, 36/36, 66/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/94, 44/65, 36/36, 66/769 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/94, 44/65, 36/36, 66/769 is 1980.

LCM(55/94, 44/65, 36/36, 66/769) = 1980

LCM of 55/94, 44/65, 36/36, 66/769

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 55/94,44/65,36/36,66/769

Given numbers are 55/94,44/65,36/36,66/769

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 55,44,36,66

Least Common Multiple of Numerators i.e. LCM of 55,44,36,66 is 1980.

GCF of Denominators means GCF of 94,65,36,769 as per the given fractions.

GCF of 94,65,36,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,44,36,66

LCM of Fractions 55/94,44/65,36/36,66/769 is 1980

2 55, 44, 36, 66
2 55, 22, 18, 33
3 55, 11, 9, 33
11 55, 11, 3, 11
5, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 5 x 1 x 3 x 1 = 1980

Least Common Multiple of 55,44,36,66 with GCF Formula

Least Common Multiple of 55,44,36,66 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 55,44,36,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,44,36,66) = 1

common factors(in case of two or more numbers have common factors) = 2904

GCF(55,44,36,66) x common factors =1 x 2904 = 2904

LCM(55,44,36,66) = ( 55 × 44 × 36 × 66 ) / 2904

LCM(55,44,36,66) = 5749920 / 2904

LCM(55,44,36,66) = 1980


Lets's calculate GCF of 94,65,36,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980/1

Therefore the LCM of Fractions 55/94,44/65,36/36,66/769 is 1980

Greatest Common Factor of 94,65,36,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,65,36,769 By Matching Biggest Common Factor Method

Factors of 94

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

1,2,47,94

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 94,65,36,769 . The biggest common factor number is the GCF number.
So the greatest common factor 94,65,36,769 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 55/94, 44/65, 36/36, 66/769

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 55/94, 44/65, 36/36, 66/769?

Answer: LCM of Numerators as per given numbers 55/94, 44/65, 36/36, 66/769 is

LCM of Numerators i.e. for 55,44,36,66 is 1980

GCF of denominators i.e. for 94,65,36,769 is 1.

Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 55/94, 44/65, 36/36, 66/769 is 1980.