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LCM of 767, 214, 840, 695

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


Find the LCM of 767, 214, 840, 695 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, 214, 840, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,214,840,695

Given numbers are 767,214,840,695

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

The LCM of 767,214,840,695 is 9582376440.

Find LCM of 767,214,840,695 with Prime Factorization


2 767, 214, 840, 695
5 767, 107, 420, 695
767, 107, 84, 139

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

2 x 5 x 767 x 107 x 84 x 139 = 9582376440

Therefore, the lowest common multiple of 767,214,840,695 is 9582376440.

LCM Formula to Find Lowest Common Multiple of 767,214,840,695

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 214 x 840 x 695 = 95823764400

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

214 : 1, 2, 107, 214

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,214,840,695, is 1.

Now, the common factors can be found like this.

767:13x 59

214:2x 107

840:2x 2x 2x 3x 5x 7

695:5x 139

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 95823764400/(1x10)

LCM = 95823764400/10

LCM = 9582376440

Thus, we can understand that the LCM of 767,214,840,695 is 9582376440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 214, 840, 695

1. What is the LCM of 767, 214, 840, 695?

Answer: LCM of 767, 214, 840, 695 is 9582376440.

2. How to calculate the LCM of 767, 214, 840, 695?

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, 214, 840, 695.

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}.