Least Common Multiple of 86/133, 99/283, 804/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/133, 99/283, 804/758 quickly i.e. 1140876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/133, 99/283, 804/758 is 1140876.

LCM(86/133, 99/283, 804/758) = 1140876

LCM of 86/133, 99/283, 804/758

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 86/133,99/283,804/758

Given numbers are 86/133,99/283,804/758

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 86,99,804

Least Common Multiple of Numerators i.e. LCM of 86,99,804 is 1140876.

GCF of Denominators means GCF of 133,283,758 as per the given fractions.

GCF of 133,283,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,99,804

LCM of Fractions 86/133,99/283,804/758 is 1140876

2 86, 99, 804
3 43, 99, 402
43, 33, 134

∴ So the LCM of the given numbers is 2 x 3 x 43 x 33 x 134 = 1140876

Least Common Multiple of 86,99,804 with GCF Formula

Least Common Multiple of 86,99,804 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 86,99,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,99,804) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(86,99,804) x common factors =1 x 6 = 6

LCM(86,99,804) = ( 86 × 99 × 804 ) / 6

LCM(86,99,804) = 6845256 / 6

LCM(86,99,804) = 1140876


Lets's calculate GCF of 133,283,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1140876/1

Therefore the LCM of Fractions 86/133,99/283,804/758 is 1140876

Greatest Common Factor of 133,283,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,283,758 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 133,283,758 . The biggest common factor number is the GCF number.
So the greatest common factor 133,283,758 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 86/133, 99/283, 804/758

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 86/133, 99/283, 804/758?

Answer: LCM of Numerators as per given numbers 86/133, 99/283, 804/758 is

LCM of Numerators i.e. for 86,99,804 is 1140876

GCF of denominators i.e. for 133,283,758 is 1.

Thus, LCM of Fractions is 1140876.Finally, LCM of Fractions for 86/133, 99/283, 804/758 is 1140876.