Least Common Multiple of 432/426, 2206/8126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/426, 2206/8126 quickly i.e. 238248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/426, 2206/8126 is 238248.

LCM(432/426, 2206/8126) = 238248

LCM of 432/426, 2206/8126

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 432/426,2206/8126

Given numbers are 432/426,2206/8126

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 432,2206

Least Common Multiple of Numerators i.e. LCM of 432,2206 is 476496.

GCF of Denominators means GCF of 426,8126 as per the given fractions.

GCF of 426,8126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,2206

LCM of Fractions 432/426,2206/8126 is 238248

2 432, 2206
216, 1103

∴ So the LCM of the given numbers is 2 x 216 x 1103 = 476496

Least Common Multiple of 432,2206 with GCF Formula

Least Common Multiple of 432,2206 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 432,2206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,2206) = 2

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

GCF(432,2206) x common factors =2 x 1 = 2

LCM(432,2206) = ( 432 × 2206 ) / 2

LCM(432,2206) = 952992 / 2

LCM(432,2206) = 476496


Lets's calculate GCF of 426,8126

2 426, 8126
213, 4063

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476496/2

Therefore the LCM of Fractions 432/426,2206/8126 is 238248

Greatest Common Factor of 426,8126 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,8126 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 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Greatest Common Factor

We found the factors 426,8126 . The biggest common factor number is the GCF number.
So the greatest common factor 426,8126 is 2.


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 432/426, 2206/8126

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 432/426, 2206/8126?

Answer: LCM of Numerators as per given numbers 432/426, 2206/8126 is

LCM of Numerators i.e. for 432,2206 is 476496

GCF of denominators i.e. for 426,8126 is 2.

Thus, LCM of Fractions is 238248.Finally, LCM of Fractions for 432/426, 2206/8126 is 238248.