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LCM of 334, 345, 533, 943, 636

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


Find the LCM of 334, 345, 533, 943, 636 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 334, 345, 533, 943, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,345,533,943,636

Given numbers are 334,345,533,943,636

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

The LCM of 334,345,533,943,636 is 6510264540.

Find LCM of 334,345,533,943,636 with Prime Factorization


2 334, 345, 533, 943, 636
3 167, 345, 533, 943, 318
23 167, 115, 533, 943, 106
41 167, 5, 533, 41, 106
167, 5, 13, 1, 106

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

2 x 3 x 23 x 41 x 167 x 5 x 13 x 1 x 106 = 6510264540

Therefore, the lowest common multiple of 334,345,533,943,636 is 6510264540.

LCM Formula to Find Lowest Common Multiple of 334,345,533,943,636

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.

334 x 345 x 533 x 943 x 636 = 36835076767320

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.

334 : 1, 2, 167, 334

345 : 1, 3, 5, 15, 23, 69, 115, 345

533 : 1, 13, 41, 533

943 : 1, 23, 41, 943

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,345,533,943,636, is 1.

Now, the common factors can be found like this.

334:2x 167

345:3x 5x 23

533:13x 41

943:23x 41

636:2x 2x 3x 53

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

2x 3x 23x 41 = 5658

Therefore, the value for common factors is 5658.

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 = 36835076767320/(1x5658)

LCM = 36835076767320/5658

LCM = 6510264540

Thus, we can understand that the LCM of 334,345,533,943,636 is 6510264540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 345, 533, 943, 636

1. What is the LCM of 334, 345, 533, 943, 636?

Answer: LCM of 334, 345, 533, 943, 636 is 6510264540.

2. How to calculate the LCM of 334, 345, 533, 943, 636?

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 334, 345, 533, 943, 636.

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}.