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LCM of 646, 988, 929, 944

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


Find the LCM of 646, 988, 929, 944 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, 988, 929, 944. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,988,929,944

Given numbers are 646,988,929,944

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

The LCM of 646,988,929,944 is 3682422224.

Find LCM of 646,988,929,944 with Prime Factorization


2 646, 988, 929, 944
2 323, 494, 929, 472
19 323, 247, 929, 236
17, 13, 929, 236

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

2 x 2 x 19 x 17 x 13 x 929 x 236 = 3682422224

Therefore, the lowest common multiple of 646,988,929,944 is 3682422224.

LCM Formula to Find Lowest Common Multiple of 646,988,929,944

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 988 x 929 x 944 = 559728178048

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

929 : 1, 929

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,988,929,944, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

988:2x 2x 13x 19

929:929

944:2x 2x 2x 2x 59

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 19 = 152

Therefore, the value for common factors is 152.

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 = 559728178048/(1x152)

LCM = 559728178048/152

LCM = 3682422224

Thus, we can understand that the LCM of 646,988,929,944 is 3682422224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 988, 929, 944

1. What is the LCM of 646, 988, 929, 944?

Answer: LCM of 646, 988, 929, 944 is 3682422224.

2. How to calculate the LCM of 646, 988, 929, 944?

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, 988, 929, 944.

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}.