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LCM of 447, 692, 362, 678, 886

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


Find the LCM of 447, 692, 362, 678, 886 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 447, 692, 362, 678, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,692,362,678,886

Given numbers are 447,692,362,678,886

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

The LCM of 447,692,362,678,886 is 2802685470996.

Find LCM of 447,692,362,678,886 with Prime Factorization


2 447, 692, 362, 678, 886
3 447, 346, 181, 339, 443
149, 346, 181, 113, 443

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

2 x 3 x 149 x 346 x 181 x 113 x 443 = 2802685470996

Therefore, the lowest common multiple of 447,692,362,678,886 is 2802685470996.

LCM Formula to Find Lowest Common Multiple of 447,692,362,678,886

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.

447 x 692 x 362 x 678 x 886 = 67264451303904

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.

447 : 1, 3, 149, 447

692 : 1, 2, 4, 173, 346, 692

362 : 1, 2, 181, 362

678 : 1, 2, 3, 6, 113, 226, 339, 678

886 : 1, 2, 443, 886

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,692,362,678,886, is 1.

Now, the common factors can be found like this.

447:3x 149

692:2x 2x 173

362:2x 181

678:2x 3x 113

886:2x 443

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 3 = 24

Therefore, the value for common factors is 24.

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 = 67264451303904/(1x24)

LCM = 67264451303904/24

LCM = 2802685470996

Thus, we can understand that the LCM of 447,692,362,678,886 is 2802685470996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 692, 362, 678, 886

1. What is the LCM of 447, 692, 362, 678, 886?

Answer: LCM of 447, 692, 362, 678, 886 is 2802685470996.

2. How to calculate the LCM of 447, 692, 362, 678, 886?

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 447, 692, 362, 678, 886.

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}.