Least Common Multiple of 80/11, 33/49, 49/64, 43/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/11, 33/49, 49/64, 43/964 quickly i.e. 5562480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/11, 33/49, 49/64, 43/964 is 5562480.

LCM(80/11, 33/49, 49/64, 43/964) = 5562480

LCM of 80/11, 33/49, 49/64, 43/964

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 80/11,33/49,49/64,43/964

Given numbers are 80/11,33/49,49/64,43/964

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 80,33,49,43

Least Common Multiple of Numerators i.e. LCM of 80,33,49,43 is 5562480.

GCF of Denominators means GCF of 11,49,64,964 as per the given fractions.

GCF of 11,49,64,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,33,49,43

LCM of Fractions 80/11,33/49,49/64,43/964 is 5562480

Given numbers has no common factors except 1. So, there LCM is their product i.e 5562480

Least Common Multiple of 80,33,49,43 with GCF Formula

Least Common Multiple of 80,33,49,43 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 80,33,49,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,33,49,43) = 1

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

GCF(80,33,49,43) x common factors =1 x 1 = 1

LCM(80,33,49,43) = ( 80 × 33 × 49 × 43 ) / 1

LCM(80,33,49,43) = 5562480 / 1

LCM(80,33,49,43) = 5562480


Lets's calculate GCF of 11,49,64,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5562480/1

Therefore the LCM of Fractions 80/11,33/49,49/64,43/964 is 5562480

Greatest Common Factor of 11,49,64,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,49,64,964 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 11,49,64,964 . The biggest common factor number is the GCF number.
So the greatest common factor 11,49,64,964 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 80/11, 33/49, 49/64, 43/964

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 80/11, 33/49, 49/64, 43/964?

Answer: LCM of Numerators as per given numbers 80/11, 33/49, 49/64, 43/964 is

LCM of Numerators i.e. for 80,33,49,43 is 5562480

GCF of denominators i.e. for 11,49,64,964 is 1.

Thus, LCM of Fractions is 5562480.Finally, LCM of Fractions for 80/11, 33/49, 49/64, 43/964 is 5562480.