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LCM of 812, 862, 354, 345

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


Find the LCM of 812, 862, 354, 345 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 812, 862, 354, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,862,354,345

Given numbers are 812,862,354,345

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

The LCM of 812,862,354,345 is 7123680060.

Find LCM of 812,862,354,345 with Prime Factorization


2 812, 862, 354, 345
3 406, 431, 177, 345
406, 431, 59, 115

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

2 x 3 x 406 x 431 x 59 x 115 = 7123680060

Therefore, the lowest common multiple of 812,862,354,345 is 7123680060.

LCM Formula to Find Lowest Common Multiple of 812,862,354,345

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.

812 x 862 x 354 x 345 = 85484160720

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

862 : 1, 2, 431, 862

354 : 1, 2, 3, 6, 59, 118, 177, 354

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,862,354,345, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

862:2x 431

354:2x 3x 59

345:3x 5x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 85484160720/(1x12)

LCM = 85484160720/12

LCM = 7123680060

Thus, we can understand that the LCM of 812,862,354,345 is 7123680060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 862, 354, 345

1. What is the LCM of 812, 862, 354, 345?

Answer: LCM of 812, 862, 354, 345 is 7123680060.

2. How to calculate the LCM of 812, 862, 354, 345?

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 812, 862, 354, 345.

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}.