Least Common Multiple of 498/856, 313/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/856, 313/811 quickly i.e. 155874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/856, 313/811 is 155874.

LCM(498/856, 313/811) = 155874

LCM of 498/856, 313/811

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 498/856,313/811

Given numbers are 498/856,313/811

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 498,313

Least Common Multiple of Numerators i.e. LCM of 498,313 is 155874.

GCF of Denominators means GCF of 856,811 as per the given fractions.

GCF of 856,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,313

LCM of Fractions 498/856,313/811 is 155874

Given numbers has no common factors except 1. So, there LCM is their product i.e 155874

Least Common Multiple of 498,313 with GCF Formula

Least Common Multiple of 498,313 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 498,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,313) = 1

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

GCF(498,313) x common factors =1 x 1 = 1

LCM(498,313) = ( 498 × 313 ) / 1

LCM(498,313) = 155874 / 1

LCM(498,313) = 155874


Lets's calculate GCF of 856,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155874/1

Therefore the LCM of Fractions 498/856,313/811 is 155874

Greatest Common Factor of 856,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,811 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 856,811 . The biggest common factor number is the GCF number.
So the greatest common factor 856,811 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 498/856, 313/811

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 498/856, 313/811?

Answer: LCM of Numerators as per given numbers 498/856, 313/811 is

LCM of Numerators i.e. for 498,313 is 155874

GCF of denominators i.e. for 856,811 is 1.

Thus, LCM of Fractions is 155874.Finally, LCM of Fractions for 498/856, 313/811 is 155874.