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LCM of 155, 518, 468, 434

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


Find the LCM of 155, 518, 468, 434 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 155, 518, 468, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 155,518,468,434

Given numbers are 155,518,468,434

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

The LCM of 155,518,468,434 is 18787860.

Find LCM of 155,518,468,434 with Prime Factorization


2 155, 518, 468, 434
7 155, 259, 234, 217
31 155, 37, 234, 31
5, 37, 234, 1

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

2 x 7 x 31 x 5 x 37 x 234 x 1 = 18787860

Therefore, the lowest common multiple of 155,518,468,434 is 18787860.

LCM Formula to Find Lowest Common Multiple of 155,518,468,434

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.

155 x 518 x 468 x 434 = 16307862480

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.

155 : 1, 5, 31, 155

518 : 1, 2, 7, 14, 37, 74, 259, 518

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,518,468,434, is 1.

Now, the common factors can be found like this.

155:5x 31

518:2x 7x 37

468:2x 2x 3x 3x 13

434:2x 7x 31

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

2x 2x 7x 31 = 868

Therefore, the value for common factors is 868.

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 = 16307862480/(1x868)

LCM = 16307862480/868

LCM = 18787860

Thus, we can understand that the LCM of 155,518,468,434 is 18787860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 155, 518, 468, 434

1. What is the LCM of 155, 518, 468, 434?

Answer: LCM of 155, 518, 468, 434 is 18787860.

2. How to calculate the LCM of 155, 518, 468, 434?

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 155, 518, 468, 434.

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}.