Least Common Multiple of 64/206, 90/844, 743/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/206, 90/844, 743/262 quickly i.e. 1069920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/206, 90/844, 743/262 is 1069920.

LCM(64/206, 90/844, 743/262) = 1069920

LCM of 64/206, 90/844, 743/262

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 64/206,90/844,743/262

Given numbers are 64/206,90/844,743/262

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 64,90,743

Least Common Multiple of Numerators i.e. LCM of 64,90,743 is 2139840.

GCF of Denominators means GCF of 206,844,262 as per the given fractions.

GCF of 206,844,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,90,743

LCM of Fractions 64/206,90/844,743/262 is 1069920

2 64, 90, 743
32, 45, 743

∴ So the LCM of the given numbers is 2 x 32 x 45 x 743 = 2139840

Least Common Multiple of 64,90,743 with GCF Formula

Least Common Multiple of 64,90,743 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 64,90,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,90,743) = 1

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

GCF(64,90,743) x common factors =1 x 2 = 2

LCM(64,90,743) = ( 64 × 90 × 743 ) / 2

LCM(64,90,743) = 4279680 / 2

LCM(64,90,743) = 2139840


Lets's calculate GCF of 206,844,262

2 206, 844, 262
103, 422, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2139840/2

Therefore the LCM of Fractions 64/206,90/844,743/262 is 1069920

Greatest Common Factor of 206,844,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,844,262 By Matching Biggest Common Factor Method

Factors of 206

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

1,2,103,206

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

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 206,844,262 . The biggest common factor number is the GCF number.
So the greatest common factor 206,844,262 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 64/206, 90/844, 743/262

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 64/206, 90/844, 743/262?

Answer: LCM of Numerators as per given numbers 64/206, 90/844, 743/262 is

LCM of Numerators i.e. for 64,90,743 is 2139840

GCF of denominators i.e. for 206,844,262 is 2.

Thus, LCM of Fractions is 1069920.Finally, LCM of Fractions for 64/206, 90/844, 743/262 is 1069920.