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LCM of 917, 786, 748, 669, 446

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


Find the LCM of 917, 786, 748, 669, 446 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 917, 786, 748, 669, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,786,748,669,446

Given numbers are 917,786,748,669,446

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

The LCM of 917,786,748,669,446 is 458877804.

Find LCM of 917,786,748,669,446 with Prime Factorization


2 917, 786, 748, 669, 446
3 917, 393, 374, 669, 223
131 917, 131, 374, 223, 223
223 7, 1, 374, 223, 223
7, 1, 374, 1, 1

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

2 x 3 x 131 x 223 x 7 x 1 x 374 x 1 x 1 = 458877804

Therefore, the lowest common multiple of 917,786,748,669,446 is 458877804.

LCM Formula to Find Lowest Common Multiple of 917,786,748,669,446

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.

917 x 786 x 748 x 669 x 446 = 160862367459024

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.

917 : 1, 7, 131, 917

786 : 1, 2, 3, 6, 131, 262, 393, 786

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

669 : 1, 3, 223, 669

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,786,748,669,446, is 1.

Now, the common factors can be found like this.

917:7x 131

786:2x 3x 131

748:2x 2x 11x 17

669:3x 223

446:2x 223

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 3x 131x 223 = 350556

Therefore, the value for common factors is 350556.

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 = 160862367459024/(1x350556)

LCM = 160862367459024/350556

LCM = 458877804

Thus, we can understand that the LCM of 917,786,748,669,446 is 458877804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 786, 748, 669, 446

1. What is the LCM of 917, 786, 748, 669, 446?

Answer: LCM of 917, 786, 748, 669, 446 is 458877804.

2. How to calculate the LCM of 917, 786, 748, 669, 446?

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 917, 786, 748, 669, 446.

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}.