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LCM of 767, 282, 748, 867

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


Find the LCM of 767, 282, 748, 867 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 767, 282, 748, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,282,748,867

Given numbers are 767,282,748,867

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

The LCM of 767,282,748,867 is 1375197252.

Find LCM of 767,282,748,867 with Prime Factorization


2 767, 282, 748, 867
3 767, 141, 374, 867
17 767, 47, 374, 289
767, 47, 22, 17

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

2 x 3 x 17 x 767 x 47 x 22 x 17 = 1375197252

Therefore, the lowest common multiple of 767,282,748,867 is 1375197252.

LCM Formula to Find Lowest Common Multiple of 767,282,748,867

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.

767 x 282 x 748 x 867 = 140270119704

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.

767 : 1, 13, 59, 767

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,282,748,867, is 1.

Now, the common factors can be found like this.

767:13x 59

282:2x 3x 47

748:2x 2x 11x 17

867:3x 17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 140270119704/(1x102)

LCM = 140270119704/102

LCM = 1375197252

Thus, we can understand that the LCM of 767,282,748,867 is 1375197252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 282, 748, 867

1. What is the LCM of 767, 282, 748, 867?

Answer: LCM of 767, 282, 748, 867 is 1375197252.

2. How to calculate the LCM of 767, 282, 748, 867?

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 767, 282, 748, 867.

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}.