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LCM of 945, 310, 581, 402

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


Find the LCM of 945, 310, 581, 402 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 945, 310, 581, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 945,310,581,402

Given numbers are 945,310,581,402

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

The LCM of 945,310,581,402 is 325818990.

Find LCM of 945,310,581,402 with Prime Factorization


2 945, 310, 581, 402
3 945, 155, 581, 201
5 315, 155, 581, 67
7 63, 31, 581, 67
9, 31, 83, 67

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

2 x 3 x 5 x 7 x 9 x 31 x 83 x 67 = 325818990

Therefore, the lowest common multiple of 945,310,581,402 is 325818990.

LCM Formula to Find Lowest Common Multiple of 945,310,581,402

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.

945 x 310 x 581 x 402 = 68421987900

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

310 : 1, 2, 5, 10, 31, 62, 155, 310

581 : 1, 7, 83, 581

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,310,581,402, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

310:2x 5x 31

581:7x 83

402:2x 3x 67

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 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 68421987900/(1x210)

LCM = 68421987900/210

LCM = 325818990

Thus, we can understand that the LCM of 945,310,581,402 is 325818990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 945, 310, 581, 402

1. What is the LCM of 945, 310, 581, 402?

Answer: LCM of 945, 310, 581, 402 is 325818990.

2. How to calculate the LCM of 945, 310, 581, 402?

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 945, 310, 581, 402.

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}.