Given numbers are 861,635,194,720,972

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

The LCM of 861,635,194,720,972 is 68731150320.

Find LCM of 861,635,194,720,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 287 x 127 x 97 x 4 x 27 = 68731150320

Therefore, the lowest common multiple of 861,635,194,720,972 is 68731150320.

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.

861 x 635 x 194 x 720 x 972 = 74229642345600

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

635 : 1, 5, 127, 635

194 : 1, 2, 97, 194

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,635,194,720,972, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

635:5x 127

194:2x 97

720:2x 2x 2x 2x 3x 3x 5

972:2x 2x 3x 3x 3x 3x 3

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 74229642345600/(1x1080)

LCM = 74229642345600/1080

LCM = 68731150320

Thus, we can understand that the LCM of 861,635,194,720,972 is 68731150320.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 799, 229, 196, 516, 607
• LCM of 665, 443, 150, 889, 613
• LCM of 999, 228, 961, 916, 180
• LCM of 141, 411, 915, 860, 589
• LCM of 859, 225, 250, 996, 235

1. What is the LCM of 861, 635, 194, 720, 972?

Answer: LCM of 861, 635, 194, 720, 972 is 68731150320.

2. How to calculate the LCM of 861, 635, 194, 720, 972?

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 861, 635, 194, 720, 972.

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}.