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LCM of 893, 372, 961, 964

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


Find the LCM of 893, 372, 961, 964 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 893, 372, 961, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,372,961,964

Given numbers are 893,372,961,964

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

The LCM of 893,372,961,964 is 2481836316.

Find LCM of 893,372,961,964 with Prime Factorization


2 893, 372, 961, 964
2 893, 186, 961, 482
31 893, 93, 961, 241
893, 3, 31, 241

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

2 x 2 x 31 x 893 x 3 x 31 x 241 = 2481836316

Therefore, the lowest common multiple of 893,372,961,964 is 2481836316.

LCM Formula to Find Lowest Common Multiple of 893,372,961,964

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.

893 x 372 x 961 x 964 = 307747703184

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.

893 : 1, 19, 47, 893

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

961 : 1, 31, 961

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,372,961,964, is 1.

Now, the common factors can be found like this.

893:19x 47

372:2x 2x 3x 31

961:31x 31

964:2x 2x 241

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 31 = 124

Therefore, the value for common factors is 124.

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 = 307747703184/(1x124)

LCM = 307747703184/124

LCM = 2481836316

Thus, we can understand that the LCM of 893,372,961,964 is 2481836316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 372, 961, 964

1. What is the LCM of 893, 372, 961, 964?

Answer: LCM of 893, 372, 961, 964 is 2481836316.

2. How to calculate the LCM of 893, 372, 961, 964?

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 893, 372, 961, 964.

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}.