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LCM of 901, 740, 984, 315

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


Find the LCM of 901, 740, 984, 315 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 901, 740, 984, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,740,984,315

Given numbers are 901,740,984,315

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

The LCM of 901,740,984,315 is 3444378840.

Find LCM of 901,740,984,315 with Prime Factorization


2 901, 740, 984, 315
2 901, 370, 492, 315
3 901, 185, 246, 315
5 901, 185, 82, 105
901, 37, 82, 21

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

2 x 2 x 3 x 5 x 901 x 37 x 82 x 21 = 3444378840

Therefore, the lowest common multiple of 901,740,984,315 is 3444378840.

LCM Formula to Find Lowest Common Multiple of 901,740,984,315

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.

901 x 740 x 984 x 315 = 206662730400

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.

901 : 1, 17, 53, 901

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,740,984,315, is 1.

Now, the common factors can be found like this.

901:17x 53

740:2x 2x 5x 37

984:2x 2x 2x 3x 41

315:3x 3x 5x 7

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 206662730400/(1x60)

LCM = 206662730400/60

LCM = 3444378840

Thus, we can understand that the LCM of 901,740,984,315 is 3444378840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 740, 984, 315

1. What is the LCM of 901, 740, 984, 315?

Answer: LCM of 901, 740, 984, 315 is 3444378840.

2. How to calculate the LCM of 901, 740, 984, 315?

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 901, 740, 984, 315.

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}.