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LCM of 362, 778, 848, 267, 824

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


Find the LCM of 362, 778, 848, 267, 824 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 362, 778, 848, 267, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,778,848,267,824

Given numbers are 362,778,848,267,824

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

The LCM of 362,778,848,267,824 is 1641997586832.

Find LCM of 362,778,848,267,824 with Prime Factorization


2 362, 778, 848, 267, 824
2 181, 389, 424, 267, 412
2 181, 389, 212, 267, 206
181, 389, 106, 267, 103

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

2 x 2 x 2 x 181 x 389 x 106 x 267 x 103 = 1641997586832

Therefore, the lowest common multiple of 362,778,848,267,824 is 1641997586832.

LCM Formula to Find Lowest Common Multiple of 362,778,848,267,824

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.

362 x 778 x 848 x 267 x 824 = 52543922778624

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.

362 : 1, 2, 181, 362

778 : 1, 2, 389, 778

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

267 : 1, 3, 89, 267

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,778,848,267,824, is 1.

Now, the common factors can be found like this.

362:2x 181

778:2x 389

848:2x 2x 2x 2x 53

267:3x 89

824:2x 2x 2x 103

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 52543922778624/(1x32)

LCM = 52543922778624/32

LCM = 1641997586832

Thus, we can understand that the LCM of 362,778,848,267,824 is 1641997586832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 778, 848, 267, 824

1. What is the LCM of 362, 778, 848, 267, 824?

Answer: LCM of 362, 778, 848, 267, 824 is 1641997586832.

2. How to calculate the LCM of 362, 778, 848, 267, 824?

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 362, 778, 848, 267, 824.

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}.