Given numbers are 506,430,728,931

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

The LCM of 506,430,728,931 is 5266741480.

Find LCM of 506,430,728,931 with Prime Factorization

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

2 x 7 x 253 x 215 x 52 x 133 = 5266741480

Therefore, the lowest common multiple of 506,430,728,931 is 5266741480.

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.

506 x 430 x 728 x 931 = 147468761440

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

430 : 1, 2, 5, 10, 43, 86, 215, 430

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,430,728,931, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

430:2x 5x 43

728:2x 2x 2x 7x 13

931:7x 7x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 147468761440/(1x28)

LCM = 147468761440/28

LCM = 5266741480

Thus, we can understand that the LCM of 506,430,728,931 is 5266741480.

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

• LCM of 802, 287, 596, 629
• LCM of 687, 818, 385, 870
• LCM of 836, 774, 918, 469
• LCM of 433, 955, 993, 378
• LCM of 844, 108, 477, 133

1. What is the LCM of 506, 430, 728, 931?

Answer: LCM of 506, 430, 728, 931 is 5266741480.

2. How to calculate the LCM of 506, 430, 728, 931?

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 506, 430, 728, 931.

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}.