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LCM of 780, 884, 375, 299, 358

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


Find the LCM of 780, 884, 375, 299, 358 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 780, 884, 375, 299, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,884,375,299,358

Given numbers are 780,884,375,299,358

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

The LCM of 780,884,375,299,358 is 1364785500.

Find LCM of 780,884,375,299,358 with Prime Factorization


2 780, 884, 375, 299, 358
2 390, 442, 375, 299, 179
3 195, 221, 375, 299, 179
5 65, 221, 125, 299, 179
13 13, 221, 25, 299, 179
1, 17, 25, 23, 179

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

2 x 2 x 3 x 5 x 13 x 1 x 17 x 25 x 23 x 179 = 1364785500

Therefore, the lowest common multiple of 780,884,375,299,358 is 1364785500.

LCM Formula to Find Lowest Common Multiple of 780,884,375,299,358

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.

780 x 884 x 375 x 299 x 358 = 27677849940000

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.

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

375 : 1, 3, 5, 15, 25, 75, 125, 375

299 : 1, 13, 23, 299

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,884,375,299,358, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

884:2x 2x 13x 17

375:3x 5x 5x 5

299:13x 23

358:2x 179

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 13 = 20280

Therefore, the value for common factors is 20280.

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 = 27677849940000/(1x20280)

LCM = 27677849940000/20280

LCM = 1364785500

Thus, we can understand that the LCM of 780,884,375,299,358 is 1364785500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 884, 375, 299, 358

1. What is the LCM of 780, 884, 375, 299, 358?

Answer: LCM of 780, 884, 375, 299, 358 is 1364785500.

2. How to calculate the LCM of 780, 884, 375, 299, 358?

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 780, 884, 375, 299, 358.

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}.