Least Common Multiple of 353/918, 5086/4811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 353/918, 5086/4811 quickly i.e. 1795358/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/918, 5086/4811 is 1795358/17.

LCM(353/918, 5086/4811) = 1795358/17

LCM of 353/918, 5086/4811

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 353/918,5086/4811

Given numbers are 353/918,5086/4811

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 353,5086

Least Common Multiple of Numerators i.e. LCM of 353,5086 is 1795358.

GCF of Denominators means GCF of 918,4811 as per the given fractions.

GCF of 918,4811 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,5086

LCM of Fractions 353/918,5086/4811 is 1795358/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 1795358

Least Common Multiple of 353,5086 with GCF Formula

Least Common Multiple of 353,5086 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 353,5086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,5086) = 1

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

GCF(353,5086) x common factors =1 x 1 = 1

LCM(353,5086) = ( 353 × 5086 ) / 1

LCM(353,5086) = 1795358 / 1

LCM(353,5086) = 1795358


Lets's calculate GCF of 918,4811

17 918, 4811
54, 283

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1795358/17

Therefore the LCM of Fractions 353/918,5086/4811 is 1795358/17

Greatest Common Factor of 918,4811 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,4811 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 4811

List of positive integer factors of 4811 that divides 4811 without a remainder.

1,17,283,4811

Greatest Common Factor

We found the factors 918,4811 . The biggest common factor number is the GCF number.
So the greatest common factor 918,4811 is 17.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 353/918, 5086/4811

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 353/918, 5086/4811?

Answer: LCM of Numerators as per given numbers 353/918, 5086/4811 is

LCM of Numerators i.e. for 353,5086 is 1795358

GCF of denominators i.e. for 918,4811 is 17.

Thus, LCM of Fractions is 1795358/17.Finally, LCM of Fractions for 353/918, 5086/4811 is 1795358/17.