Least Common Multiple of 85/422, 382/83, 214/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/422, 382/83, 214/262 quickly i.e. 3474290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/422, 382/83, 214/262 is 3474290.

LCM(85/422, 382/83, 214/262) = 3474290

LCM of 85/422, 382/83, 214/262

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 85/422,382/83,214/262

Given numbers are 85/422,382/83,214/262

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 85,382,214

Least Common Multiple of Numerators i.e. LCM of 85,382,214 is 3474290.

GCF of Denominators means GCF of 422,83,262 as per the given fractions.

GCF of 422,83,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,382,214

LCM of Fractions 85/422,382/83,214/262 is 3474290

2 85, 382, 214
85, 191, 107

∴ So the LCM of the given numbers is 2 x 85 x 191 x 107 = 3474290

Least Common Multiple of 85,382,214 with GCF Formula

Least Common Multiple of 85,382,214 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 85,382,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,382,214) = 1

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

GCF(85,382,214) x common factors =1 x 2 = 2

LCM(85,382,214) = ( 85 × 382 × 214 ) / 2

LCM(85,382,214) = 6948580 / 2

LCM(85,382,214) = 3474290


Lets's calculate GCF of 422,83,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3474290/1

Therefore the LCM of Fractions 85/422,382/83,214/262 is 3474290

Greatest Common Factor of 422,83,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,83,262 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 422,83,262 . The biggest common factor number is the GCF number.
So the greatest common factor 422,83,262 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 85/422, 382/83, 214/262

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 85/422, 382/83, 214/262?

Answer: LCM of Numerators as per given numbers 85/422, 382/83, 214/262 is

LCM of Numerators i.e. for 85,382,214 is 3474290

GCF of denominators i.e. for 422,83,262 is 1.

Thus, LCM of Fractions is 3474290.Finally, LCM of Fractions for 85/422, 382/83, 214/262 is 3474290.