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LCM of 155, 417, 875, 336

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


Find the LCM of 155, 417, 875, 336 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, 417, 875, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 155,417,875,336

Given numbers are 155,417,875,336

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

The LCM of 155,417,875,336 is 180978000.

Find LCM of 155,417,875,336 with Prime Factorization


3 155, 417, 875, 336
5 155, 139, 875, 112
7 31, 139, 175, 112
31, 139, 25, 16

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

3 x 5 x 7 x 31 x 139 x 25 x 16 = 180978000

Therefore, the lowest common multiple of 155,417,875,336 is 180978000.

LCM Formula to Find Lowest Common Multiple of 155,417,875,336

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 417 x 875 x 336 = 19002690000

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

417 : 1, 3, 139, 417

875 : 1, 5, 7, 25, 35, 125, 175, 875

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,417,875,336, is 1.

Now, the common factors can be found like this.

155:5x 31

417:3x 139

875:5x 5x 5x 7

336:2x 2x 2x 2x 3x 7

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

3x 5x 7 = 105

Therefore, the value for common factors is 105.

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 = 19002690000/(1x105)

LCM = 19002690000/105

LCM = 180978000

Thus, we can understand that the LCM of 155,417,875,336 is 180978000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 155, 417, 875, 336

1. What is the LCM of 155, 417, 875, 336?

Answer: LCM of 155, 417, 875, 336 is 180978000.

2. How to calculate the LCM of 155, 417, 875, 336?

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, 417, 875, 336.

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}.