Least Common Multiple of 446/92, 281/89, 134/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 446/92, 281/89, 134/102 quickly i.e. 8396842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/92, 281/89, 134/102 is 8396842.

LCM(446/92, 281/89, 134/102) = 8396842

LCM of 446/92, 281/89, 134/102

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 446/92,281/89,134/102

Given numbers are 446/92,281/89,134/102

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 446,281,134

Least Common Multiple of Numerators i.e. LCM of 446,281,134 is 8396842.

GCF of Denominators means GCF of 92,89,102 as per the given fractions.

GCF of 92,89,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,281,134

LCM of Fractions 446/92,281/89,134/102 is 8396842

2 446, 281, 134
223, 281, 67

∴ So the LCM of the given numbers is 2 x 223 x 281 x 67 = 8396842

Least Common Multiple of 446,281,134 with GCF Formula

Least Common Multiple of 446,281,134 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 446,281,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,281,134) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(446,281,134) x common factors =1 x 2 = 2

LCM(446,281,134) = ( 446 × 281 × 134 ) / 2

LCM(446,281,134) = 16793684 / 2

LCM(446,281,134) = 8396842


Lets's calculate GCF of 92,89,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8396842/1

Therefore the LCM of Fractions 446/92,281/89,134/102 is 8396842

Greatest Common Factor of 92,89,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,89,102 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 92,89,102 . The biggest common factor number is the GCF number.
So the greatest common factor 92,89,102 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 446/92, 281/89, 134/102

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 446/92, 281/89, 134/102?

Answer: LCM of Numerators as per given numbers 446/92, 281/89, 134/102 is

LCM of Numerators i.e. for 446,281,134 is 8396842

GCF of denominators i.e. for 92,89,102 is 1.

Thus, LCM of Fractions is 8396842.Finally, LCM of Fractions for 446/92, 281/89, 134/102 is 8396842.