Least Common Multiple of 80/92, 880/76, 496/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/92, 880/76, 496/59 quickly i.e. 27280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/92, 880/76, 496/59 is 27280.

LCM(80/92, 880/76, 496/59) = 27280

LCM of 80/92, 880/76, 496/59

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 80/92,880/76,496/59

Given numbers are 80/92,880/76,496/59

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 80,880,496

Least Common Multiple of Numerators i.e. LCM of 80,880,496 is 27280.

GCF of Denominators means GCF of 92,76,59 as per the given fractions.

GCF of 92,76,59 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,880,496

LCM of Fractions 80/92,880/76,496/59 is 27280

2 80, 880, 496
2 40, 440, 248
2 20, 220, 124
2 10, 110, 62
5 5, 55, 31
1, 11, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 11 x 31 = 27280

Least Common Multiple of 80,880,496 with GCF Formula

Least Common Multiple of 80,880,496 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 80,880,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,880,496) = 16

common factors(in case of two or more numbers have common factors) = 80

GCF(80,880,496) x common factors =16 x 80 = 1280

LCM(80,880,496) = ( 80 × 880 × 496 ) / 1280

LCM(80,880,496) = 34918400 / 1280

LCM(80,880,496) = 27280


Lets's calculate GCF of 92,76,59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27280/1

Therefore the LCM of Fractions 80/92,880/76,496/59 is 27280

Greatest Common Factor of 92,76,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,76,59 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 92,76,59 . The biggest common factor number is the GCF number.
So the greatest common factor 92,76,59 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/92, 880/76, 496/59

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 80/92, 880/76, 496/59?

Answer: LCM of Numerators as per given numbers 80/92, 880/76, 496/59 is

LCM of Numerators i.e. for 80,880,496 is 27280

GCF of denominators i.e. for 92,76,59 is 1.

Thus, LCM of Fractions is 27280.Finally, LCM of Fractions for 80/92, 880/76, 496/59 is 27280.