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LCM of 357, 886, 443

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


Find the LCM of 357, 886, 443 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 357, 886, 443. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,886,443

Given numbers are 357,886,443

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

The LCM of 357,886,443 is 316302.

Find LCM of 357,886,443 with Prime Factorization


443 357, 886, 443
357, 2, 1

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

443 x 357 x 2 x 1 = 316302

Therefore, the lowest common multiple of 357,886,443 is 316302.

LCM Formula to Find Lowest Common Multiple of 357,886,443

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.

357 x 886 x 443 = 140121786

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

886 : 1, 2, 443, 886

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,886,443, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

886:2x 443

443:443

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

443 = 443

Therefore, the value for common factors is 443.

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 = 140121786/(1x443)

LCM = 140121786/443

LCM = 316302

Thus, we can understand that the LCM of 357,886,443 is 316302.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 357, 886, 443

1. What is the LCM of 357, 886, 443?

Answer: LCM of 357, 886, 443 is 316302.

2. How to calculate the LCM of 357, 886, 443?

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 357, 886, 443.

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}.