Least Common Multiple of 82/486, 94/804, 202/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/486, 94/804, 202/818 quickly i.e. 194627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/486, 94/804, 202/818 is 194627.

LCM(82/486, 94/804, 202/818) = 194627

LCM of 82/486, 94/804, 202/818

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 82/486,94/804,202/818

Given numbers are 82/486,94/804,202/818

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 82,94,202

Least Common Multiple of Numerators i.e. LCM of 82,94,202 is 389254.

GCF of Denominators means GCF of 486,804,818 as per the given fractions.

GCF of 486,804,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,94,202

LCM of Fractions 82/486,94/804,202/818 is 194627

2 82, 94, 202
41, 47, 101

∴ So the LCM of the given numbers is 2 x 41 x 47 x 101 = 389254

Least Common Multiple of 82,94,202 with GCF Formula

Least Common Multiple of 82,94,202 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 82,94,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,94,202) = 2

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

GCF(82,94,202) x common factors =2 x 2 = 4

LCM(82,94,202) = ( 82 × 94 × 202 ) / 4

LCM(82,94,202) = 1557016 / 4

LCM(82,94,202) = 389254


Lets's calculate GCF of 486,804,818

2 486, 804, 818
243, 402, 409

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389254/2

Therefore the LCM of Fractions 82/486,94/804,202/818 is 194627

Greatest Common Factor of 486,804,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,804,818 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 486,804,818 . The biggest common factor number is the GCF number.
So the greatest common factor 486,804,818 is 2.


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 82/486, 94/804, 202/818

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 82/486, 94/804, 202/818?

Answer: LCM of Numerators as per given numbers 82/486, 94/804, 202/818 is

LCM of Numerators i.e. for 82,94,202 is 389254

GCF of denominators i.e. for 486,804,818 is 2.

Thus, LCM of Fractions is 194627.Finally, LCM of Fractions for 82/486, 94/804, 202/818 is 194627.