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LCM of 967, 834, 792, 428

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


Find the LCM of 967, 834, 792, 428 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, 834, 792, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,834,792,428

Given numbers are 967,834,792,428

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

The LCM of 967,834,792,428 is 11390695272.

Find LCM of 967,834,792,428 with Prime Factorization


2 967, 834, 792, 428
2 967, 417, 396, 214
3 967, 417, 198, 107
967, 139, 66, 107

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

2 x 2 x 3 x 967 x 139 x 66 x 107 = 11390695272

Therefore, the lowest common multiple of 967,834,792,428 is 11390695272.

LCM Formula to Find Lowest Common Multiple of 967,834,792,428

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 834 x 792 x 428 = 273376686528

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

834 : 1, 2, 3, 6, 139, 278, 417, 834

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,834,792,428, is 1.

Now, the common factors can be found like this.

967:967

834:2x 3x 139

792:2x 2x 2x 3x 3x 11

428:2x 2x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 273376686528/(1x24)

LCM = 273376686528/24

LCM = 11390695272

Thus, we can understand that the LCM of 967,834,792,428 is 11390695272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 834, 792, 428

1. What is the LCM of 967, 834, 792, 428?

Answer: LCM of 967, 834, 792, 428 is 11390695272.

2. How to calculate the LCM of 967, 834, 792, 428?

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, 834, 792, 428.

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}.