Least Common Multiple of 71/262, 41/206, 435/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/262, 41/206, 435/509 quickly i.e. 1266285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/262, 41/206, 435/509 is 1266285.

LCM(71/262, 41/206, 435/509) = 1266285

LCM of 71/262, 41/206, 435/509

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 71/262,41/206,435/509

Given numbers are 71/262,41/206,435/509

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 71,41,435

Least Common Multiple of Numerators i.e. LCM of 71,41,435 is 1266285.

GCF of Denominators means GCF of 262,206,509 as per the given fractions.

GCF of 262,206,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,41,435

LCM of Fractions 71/262,41/206,435/509 is 1266285

Given numbers has no common factors except 1. So, there LCM is their product i.e 1266285

Least Common Multiple of 71,41,435 with GCF Formula

Least Common Multiple of 71,41,435 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 71,41,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,41,435) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,41,435) x common factors =1 x 1 = 1

LCM(71,41,435) = ( 71 × 41 × 435 ) / 1

LCM(71,41,435) = 1266285 / 1

LCM(71,41,435) = 1266285


Lets's calculate GCF of 262,206,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1266285/1

Therefore the LCM of Fractions 71/262,41/206,435/509 is 1266285

Greatest Common Factor of 262,206,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,206,509 By Matching Biggest Common Factor Method

Factors of 262

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

1,2,131,262

Factors of 206

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

1,2,103,206

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 262,206,509 . The biggest common factor number is the GCF number.
So the greatest common factor 262,206,509 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 71/262, 41/206, 435/509

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 71/262, 41/206, 435/509?

Answer: LCM of Numerators as per given numbers 71/262, 41/206, 435/509 is

LCM of Numerators i.e. for 71,41,435 is 1266285

GCF of denominators i.e. for 262,206,509 is 1.

Thus, LCM of Fractions is 1266285.Finally, LCM of Fractions for 71/262, 41/206, 435/509 is 1266285.