Least Common Multiple of 351/426, 9166/2736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/426, 9166/2736 quickly i.e. 536211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/426, 9166/2736 is 536211.

LCM(351/426, 9166/2736) = 536211

LCM of 351/426, 9166/2736

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 351/426,9166/2736

Given numbers are 351/426,9166/2736

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 351,9166

Least Common Multiple of Numerators i.e. LCM of 351,9166 is 3217266.

GCF of Denominators means GCF of 426,2736 as per the given fractions.

GCF of 426,2736 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,9166

LCM of Fractions 351/426,9166/2736 is 536211

Given numbers has no common factors except 1. So, there LCM is their product i.e 3217266

Least Common Multiple of 351,9166 with GCF Formula

Least Common Multiple of 351,9166 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 351,9166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,9166) = 1

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

GCF(351,9166) x common factors =1 x 1 = 1

LCM(351,9166) = ( 351 × 9166 ) / 1

LCM(351,9166) = 3217266 / 1

LCM(351,9166) = 3217266


Lets's calculate GCF of 426,2736

2 426, 2736
3 213, 1368
71, 456

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3217266/6

Therefore the LCM of Fractions 351/426,9166/2736 is 536211

Greatest Common Factor of 426,2736 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,2736 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 2736

List of positive integer factors of 2736 that divides 2736 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736

Greatest Common Factor

We found the factors 426,2736 . The biggest common factor number is the GCF number.
So the greatest common factor 426,2736 is 6.


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 351/426, 9166/2736

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 351/426, 9166/2736?

Answer: LCM of Numerators as per given numbers 351/426, 9166/2736 is

LCM of Numerators i.e. for 351,9166 is 3217266

GCF of denominators i.e. for 426,2736 is 6.

Thus, LCM of Fractions is 536211.Finally, LCM of Fractions for 351/426, 9166/2736 is 536211.