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LCM of 967, 432, 862, 614, 929

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


Find the LCM of 967, 432, 862, 614, 929 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 967, 432, 862, 614, 929. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,432,862,614,929

Given numbers are 967,432,862,614,929

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

The LCM of 967,432,862,614,929 is 51350133915792.

Find LCM of 967,432,862,614,929 with Prime Factorization


2 967, 432, 862, 614, 929
967, 216, 431, 307, 929

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

2 x 967 x 216 x 431 x 307 x 929 = 51350133915792

Therefore, the lowest common multiple of 967,432,862,614,929 is 51350133915792.

LCM Formula to Find Lowest Common Multiple of 967,432,862,614,929

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.

967 x 432 x 862 x 614 x 929 = 205400535663168

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.

967 : 1, 967

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

862 : 1, 2, 431, 862

614 : 1, 2, 307, 614

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,432,862,614,929, is 1.

Now, the common factors can be found like this.

967:967

432:2x 2x 2x 2x 3x 3x 3

862:2x 431

614:2x 307

929:929

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 205400535663168/(1x4)

LCM = 205400535663168/4

LCM = 51350133915792

Thus, we can understand that the LCM of 967,432,862,614,929 is 51350133915792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 432, 862, 614, 929

1. What is the LCM of 967, 432, 862, 614, 929?

Answer: LCM of 967, 432, 862, 614, 929 is 51350133915792.

2. How to calculate the LCM of 967, 432, 862, 614, 929?

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 967, 432, 862, 614, 929.

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}.