Least Common Multiple of 3511/986, 8155/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3511/986, 8155/918 quickly i.e. 28632205/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3511/986, 8155/918 is 28632205/34.

LCM(3511/986, 8155/918) = 28632205/34

LCM of 3511/986, 8155/918

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 3511/986,8155/918

Given numbers are 3511/986,8155/918

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 3511,8155

Least Common Multiple of Numerators i.e. LCM of 3511,8155 is 28632205.

GCF of Denominators means GCF of 986,918 as per the given fractions.

GCF of 986,918 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3511,8155

LCM of Fractions 3511/986,8155/918 is 28632205/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 28632205

Least Common Multiple of 3511,8155 with GCF Formula

Least Common Multiple of 3511,8155 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 3511,8155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3511,8155) = 1

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

GCF(3511,8155) x common factors =1 x 1 = 1

LCM(3511,8155) = ( 3511 × 8155 ) / 1

LCM(3511,8155) = 28632205 / 1

LCM(3511,8155) = 28632205


Lets's calculate GCF of 986,918

2 986, 918
17 493, 459
29, 27

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28632205/34

Therefore the LCM of Fractions 3511/986,8155/918 is 28632205/34

Greatest Common Factor of 986,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,918 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

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

Greatest Common Factor

We found the factors 986,918 . The biggest common factor number is the GCF number.
So the greatest common factor 986,918 is 34.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3511/986, 8155/918

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 3511/986, 8155/918?

Answer: LCM of Numerators as per given numbers 3511/986, 8155/918 is

LCM of Numerators i.e. for 3511,8155 is 28632205

GCF of denominators i.e. for 986,918 is 34.

Thus, LCM of Fractions is 28632205/34.Finally, LCM of Fractions for 3511/986, 8155/918 is 28632205/34.