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LCM of 644, 968, 308, 684

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


Find the LCM of 644, 968, 308, 684 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 644, 968, 308, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,968,308,684

Given numbers are 644,968,308,684

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

The LCM of 644,968,308,684 is 26650008.

Find LCM of 644,968,308,684 with Prime Factorization


2 644, 968, 308, 684
2 322, 484, 154, 342
7 161, 242, 77, 171
11 23, 242, 11, 171
23, 22, 1, 171

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

2 x 2 x 7 x 11 x 23 x 22 x 1 x 171 = 26650008

Therefore, the lowest common multiple of 644,968,308,684 is 26650008.

LCM Formula to Find Lowest Common Multiple of 644,968,308,684

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.

644 x 968 x 308 x 684 = 131331239424

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,968,308,684, is 4.

Now, the common factors can be found like this.

644:2x 2x 7x 23

968:2x 2x 2x 11x 11

308:2x 2x 7x 11

684:2x 2x 3x 3x 19

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 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 131331239424/(4x1232)

LCM = 131331239424/4928

LCM = 26650008

Thus, we can understand that the LCM of 644,968,308,684 is 26650008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 968, 308, 684

1. What is the LCM of 644, 968, 308, 684?

Answer: LCM of 644, 968, 308, 684 is 26650008.

2. How to calculate the LCM of 644, 968, 308, 684?

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 644, 968, 308, 684.

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}.