Least Common Multiple of 77/67, 36/32, 73/33, 65/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/67, 36/32, 73/33, 65/991 quickly i.e. 13153140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/67, 36/32, 73/33, 65/991 is 13153140.

LCM(77/67, 36/32, 73/33, 65/991) = 13153140

LCM of 77/67, 36/32, 73/33, 65/991

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 77/67,36/32,73/33,65/991

Given numbers are 77/67,36/32,73/33,65/991

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 77,36,73,65

Least Common Multiple of Numerators i.e. LCM of 77,36,73,65 is 13153140.

GCF of Denominators means GCF of 67,32,33,991 as per the given fractions.

GCF of 67,32,33,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,36,73,65

LCM of Fractions 77/67,36/32,73/33,65/991 is 13153140

Given numbers has no common factors except 1. So, there LCM is their product i.e 13153140

Least Common Multiple of 77,36,73,65 with GCF Formula

Least Common Multiple of 77,36,73,65 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 77,36,73,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,36,73,65) = 1

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

GCF(77,36,73,65) x common factors =1 x 1 = 1

LCM(77,36,73,65) = ( 77 × 36 × 73 × 65 ) / 1

LCM(77,36,73,65) = 13153140 / 1

LCM(77,36,73,65) = 13153140


Lets's calculate GCF of 67,32,33,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13153140/1

Therefore the LCM of Fractions 77/67,36/32,73/33,65/991 is 13153140

Greatest Common Factor of 67,32,33,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,32,33,991 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 67,32,33,991 . The biggest common factor number is the GCF number.
So the greatest common factor 67,32,33,991 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/67, 36/32, 73/33, 65/991

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 77/67, 36/32, 73/33, 65/991?

Answer: LCM of Numerators as per given numbers 77/67, 36/32, 73/33, 65/991 is

LCM of Numerators i.e. for 77,36,73,65 is 13153140

GCF of denominators i.e. for 67,32,33,991 is 1.

Thus, LCM of Fractions is 13153140.Finally, LCM of Fractions for 77/67, 36/32, 73/33, 65/991 is 13153140.