Given numbers are 510,972,107,651,971

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

The LCM of 510,972,107,651,971 is 1862721520380.

Find LCM of 510,972,107,651,971 with Prime Factorization

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

2 x 3 x 85 x 162 x 107 x 217 x 971 = 1862721520380

Therefore, the lowest common multiple of 510,972,107,651,971 is 1862721520380.

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.

510 x 972 x 107 x 651 x 971 = 33528987366840

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

107 : 1, 107

651 : 1, 3, 7, 21, 31, 93, 217, 651

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,972,107,651,971, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

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

107:107

651:3x 7x 31

971:971

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 33528987366840/(1x18)

LCM = 33528987366840/18

LCM = 1862721520380

Thus, we can understand that the LCM of 510,972,107,651,971 is 1862721520380.

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

• LCM of 334, 648, 362, 662, 764
• LCM of 112, 656, 168, 871, 765
• LCM of 781, 166, 371, 229, 168
• LCM of 537, 282, 342, 965, 462
• LCM of 446, 105, 994, 225, 396

1. What is the LCM of 510, 972, 107, 651, 971?

Answer: LCM of 510, 972, 107, 651, 971 is 1862721520380.

2. How to calculate the LCM of 510, 972, 107, 651, 971?

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 510, 972, 107, 651, 971.

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}.