Least Common Multiple of 80/99, 22/441, 316/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/99, 22/441, 316/830 quickly i.e. 69520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/99, 22/441, 316/830 is 69520.

LCM(80/99, 22/441, 316/830) = 69520

LCM of 80/99, 22/441, 316/830

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 80/99,22/441,316/830

Given numbers are 80/99,22/441,316/830

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 80,22,316

Least Common Multiple of Numerators i.e. LCM of 80,22,316 is 69520.

GCF of Denominators means GCF of 99,441,830 as per the given fractions.

GCF of 99,441,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,22,316

LCM of Fractions 80/99,22/441,316/830 is 69520

2 80, 22, 316
2 40, 11, 158
20, 11, 79

∴ So the LCM of the given numbers is 2 x 2 x 20 x 11 x 79 = 69520

Least Common Multiple of 80,22,316 with GCF Formula

Least Common Multiple of 80,22,316 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 80,22,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,22,316) = 2

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

GCF(80,22,316) x common factors =2 x 4 = 8

LCM(80,22,316) = ( 80 × 22 × 316 ) / 8

LCM(80,22,316) = 556160 / 8

LCM(80,22,316) = 69520


Lets's calculate GCF of 99,441,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69520/1

Therefore the LCM of Fractions 80/99,22/441,316/830 is 69520

Greatest Common Factor of 99,441,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,441,830 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 99,441,830 . The biggest common factor number is the GCF number.
So the greatest common factor 99,441,830 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 80/99, 22/441, 316/830

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 80/99, 22/441, 316/830?

Answer: LCM of Numerators as per given numbers 80/99, 22/441, 316/830 is

LCM of Numerators i.e. for 80,22,316 is 69520

GCF of denominators i.e. for 99,441,830 is 1.

Thus, LCM of Fractions is 69520.Finally, LCM of Fractions for 80/99, 22/441, 316/830 is 69520.