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LCM of 443, 109, 975, 436

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 443, 109, 975, 436 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 443, 109, 975, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,109,975,436

Given numbers are 443,109,975,436

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 443,109,975,436 is 188319300.

Find LCM of 443,109,975,436 with Prime Factorization


109 443, 109, 975, 436
443, 1, 975, 4

Multiply the prime numbers at the bottom and the left side.

109 x 443 x 1 x 975 x 4 = 188319300

Therefore, the lowest common multiple of 443,109,975,436 is 188319300.

LCM Formula to Find Lowest Common Multiple of 443,109,975,436

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

443 x 109 x 975 x 436 = 20526803700

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

443 : 1, 443

109 : 1, 109

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,109,975,436, is 1.

Now, the common factors can be found like this.

443:443

109:109

975:3x 5x 5x 13

436:2x 2x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

109 = 109

Therefore, the value for common factors is 109.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 20526803700/(1x109)

LCM = 20526803700/109

LCM = 188319300

Thus, we can understand that the LCM of 443,109,975,436 is 188319300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 109, 975, 436

1. What is the LCM of 443, 109, 975, 436?

Answer: LCM of 443, 109, 975, 436 is 188319300.

2. How to calculate the LCM of 443, 109, 975, 436?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 443, 109, 975, 436.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.