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LCM of 168, 403, 310, 780

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


Find the LCM of 168, 403, 310, 780 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 168, 403, 310, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,403,310,780

Given numbers are 168,403,310,780

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

The LCM of 168,403,310,780 is 338520.

Find LCM of 168,403,310,780 with Prime Factorization


2 168, 403, 310, 780
2 84, 403, 155, 390
3 42, 403, 155, 195
5 14, 403, 155, 65
13 14, 403, 31, 13
31 14, 31, 31, 1
14, 1, 1, 1

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

2 x 2 x 3 x 5 x 13 x 31 x 14 x 1 x 1 x 1 = 338520

Therefore, the lowest common multiple of 168,403,310,780 is 338520.

LCM Formula to Find Lowest Common Multiple of 168,403,310,780

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.

168 x 403 x 310 x 780 = 16370827200

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.

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

403 : 1, 13, 31, 403

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,403,310,780, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

403:13x 31

310:2x 5x 31

780:2x 2x 3x 5x 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 2x 2x 3x 5x 13x 31 = 48360

Therefore, the value for common factors is 48360.

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 = 16370827200/(1x48360)

LCM = 16370827200/48360

LCM = 338520

Thus, we can understand that the LCM of 168,403,310,780 is 338520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 403, 310, 780

1. What is the LCM of 168, 403, 310, 780?

Answer: LCM of 168, 403, 310, 780 is 338520.

2. How to calculate the LCM of 168, 403, 310, 780?

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 168, 403, 310, 780.

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}.