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LCM of 646, 836, 874, 596, 865

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


Find the LCM of 646, 836, 874, 596, 865 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 646, 836, 874, 596, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,836,874,596,865

Given numbers are 646,836,874,596,865

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

The LCM of 646,836,874,596,865 is 42129413260.

Find LCM of 646,836,874,596,865 with Prime Factorization


2 646, 836, 874, 596, 865
2 323, 418, 437, 298, 865
19 323, 209, 437, 149, 865
17, 11, 23, 149, 865

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

2 x 2 x 19 x 17 x 11 x 23 x 149 x 865 = 42129413260

Therefore, the lowest common multiple of 646,836,874,596,865 is 42129413260.

LCM Formula to Find Lowest Common Multiple of 646,836,874,596,865

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.

646 x 836 x 874 x 596 x 865 = 243339490989760

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

874 : 1, 2, 19, 23, 38, 46, 437, 874

596 : 1, 2, 4, 149, 298, 596

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,836,874,596,865, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

836:2x 2x 11x 19

874:2x 19x 23

596:2x 2x 149

865:5x 173

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 2x 19x 19 = 5776

Therefore, the value for common factors is 5776.

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 = 243339490989760/(1x5776)

LCM = 243339490989760/5776

LCM = 42129413260

Thus, we can understand that the LCM of 646,836,874,596,865 is 42129413260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 836, 874, 596, 865

1. What is the LCM of 646, 836, 874, 596, 865?

Answer: LCM of 646, 836, 874, 596, 865 is 42129413260.

2. How to calculate the LCM of 646, 836, 874, 596, 865?

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 646, 836, 874, 596, 865.

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}.