Least Common Multiple of 35/322, 269/987, 812/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/322, 269/987, 812/206 quickly i.e. 1092140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/322, 269/987, 812/206 is 1092140.

LCM(35/322, 269/987, 812/206) = 1092140

LCM of 35/322, 269/987, 812/206

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 35/322,269/987,812/206

Given numbers are 35/322,269/987,812/206

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 35,269,812

Least Common Multiple of Numerators i.e. LCM of 35,269,812 is 1092140.

GCF of Denominators means GCF of 322,987,206 as per the given fractions.

GCF of 322,987,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,269,812

LCM of Fractions 35/322,269/987,812/206 is 1092140

7 35, 269, 812
5, 269, 116

∴ So the LCM of the given numbers is 7 x 5 x 269 x 116 = 1092140

Least Common Multiple of 35,269,812 with GCF Formula

Least Common Multiple of 35,269,812 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 35,269,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,269,812) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,269,812) x common factors =1 x 7 = 7

LCM(35,269,812) = ( 35 × 269 × 812 ) / 7

LCM(35,269,812) = 7644980 / 7

LCM(35,269,812) = 1092140


Lets's calculate GCF of 322,987,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1092140/1

Therefore the LCM of Fractions 35/322,269/987,812/206 is 1092140

Greatest Common Factor of 322,987,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,987,206 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 322,987,206 . The biggest common factor number is the GCF number.
So the greatest common factor 322,987,206 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 35/322, 269/987, 812/206

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 35/322, 269/987, 812/206?

Answer: LCM of Numerators as per given numbers 35/322, 269/987, 812/206 is

LCM of Numerators i.e. for 35,269,812 is 1092140

GCF of denominators i.e. for 322,987,206 is 1.

Thus, LCM of Fractions is 1092140.Finally, LCM of Fractions for 35/322, 269/987, 812/206 is 1092140.