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LCM of 326, 980, 507, 351

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


Find the LCM of 326, 980, 507, 351 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 326, 980, 507, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,980,507,351

Given numbers are 326,980,507,351

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

The LCM of 326,980,507,351 is 728893620.

Find LCM of 326,980,507,351 with Prime Factorization


2 326, 980, 507, 351
3 163, 490, 507, 351
13 163, 490, 169, 117
163, 490, 13, 9

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

2 x 3 x 13 x 163 x 490 x 13 x 9 = 728893620

Therefore, the lowest common multiple of 326,980,507,351 is 728893620.

LCM Formula to Find Lowest Common Multiple of 326,980,507,351

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.

326 x 980 x 507 x 351 = 56853702360

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.

326 : 1, 2, 163, 326

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

507 : 1, 3, 13, 39, 169, 507

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,980,507,351, is 1.

Now, the common factors can be found like this.

326:2x 163

980:2x 2x 5x 7x 7

507:3x 13x 13

351:3x 3x 3x 13

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 13 = 78

Therefore, the value for common factors is 78.

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 = 56853702360/(1x78)

LCM = 56853702360/78

LCM = 728893620

Thus, we can understand that the LCM of 326,980,507,351 is 728893620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 980, 507, 351

1. What is the LCM of 326, 980, 507, 351?

Answer: LCM of 326, 980, 507, 351 is 728893620.

2. How to calculate the LCM of 326, 980, 507, 351?

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 326, 980, 507, 351.

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}.