Least Common Multiple of 4261/835, 8282/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4261/835, 8282/249 quickly i.e. 35289602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4261/835, 8282/249 is 35289602.

LCM(4261/835, 8282/249) = 35289602

LCM of 4261/835, 8282/249

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 4261/835,8282/249

Given numbers are 4261/835,8282/249

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 4261,8282

Least Common Multiple of Numerators i.e. LCM of 4261,8282 is 35289602.

GCF of Denominators means GCF of 835,249 as per the given fractions.

GCF of 835,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4261,8282

LCM of Fractions 4261/835,8282/249 is 35289602

Given numbers has no common factors except 1. So, there LCM is their product i.e 35289602

Least Common Multiple of 4261,8282 with GCF Formula

Least Common Multiple of 4261,8282 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 4261,8282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4261,8282) = 1

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

GCF(4261,8282) x common factors =1 x 1 = 1

LCM(4261,8282) = ( 4261 × 8282 ) / 1

LCM(4261,8282) = 35289602 / 1

LCM(4261,8282) = 35289602


Lets's calculate GCF of 835,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35289602/1

Therefore the LCM of Fractions 4261/835,8282/249 is 35289602

Greatest Common Factor of 835,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,249 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 835,249 . The biggest common factor number is the GCF number.
So the greatest common factor 835,249 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4261/835, 8282/249

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 4261/835, 8282/249?

Answer: LCM of Numerators as per given numbers 4261/835, 8282/249 is

LCM of Numerators i.e. for 4261,8282 is 35289602

GCF of denominators i.e. for 835,249 is 1.

Thus, LCM of Fractions is 35289602.Finally, LCM of Fractions for 4261/835, 8282/249 is 35289602.