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LCM of 156, 892, 463, 562, 770

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


Find the LCM of 156, 892, 463, 562, 770 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 156, 892, 463, 562, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,892,463,562,770

Given numbers are 156,892,463,562,770

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

The LCM of 156,892,463,562,770 is 1742518918140.

Find LCM of 156,892,463,562,770 with Prime Factorization


2 156, 892, 463, 562, 770
2 78, 446, 463, 281, 385
39, 223, 463, 281, 385

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

2 x 2 x 39 x 223 x 463 x 281 x 385 = 1742518918140

Therefore, the lowest common multiple of 156,892,463,562,770 is 1742518918140.

LCM Formula to Find Lowest Common Multiple of 156,892,463,562,770

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.

156 x 892 x 463 x 562 x 770 = 27880302690240

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

892 : 1, 2, 4, 223, 446, 892

463 : 1, 463

562 : 1, 2, 281, 562

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,892,463,562,770, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

892:2x 2x 223

463:463

562:2x 281

770:2x 5x 7x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 27880302690240/(1x16)

LCM = 27880302690240/16

LCM = 1742518918140

Thus, we can understand that the LCM of 156,892,463,562,770 is 1742518918140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 892, 463, 562, 770

1. What is the LCM of 156, 892, 463, 562, 770?

Answer: LCM of 156, 892, 463, 562, 770 is 1742518918140.

2. How to calculate the LCM of 156, 892, 463, 562, 770?

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 156, 892, 463, 562, 770.

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}.