Given numbers are 970,912,602,810,762

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

The LCM of 970,912,602,810,762 is 456531299280.

Find LCM of 970,912,602,810,762 with Prime Factorization

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

2 x 3 x 5 x 97 x 152 x 301 x 27 x 127 = 456531299280

Therefore, the lowest common multiple of 970,912,602,810,762 is 456531299280.

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.

970 x 912 x 602 x 810 x 762 = 328702535481600

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

602 : 1, 2, 7, 14, 43, 86, 301, 602

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,912,602,810,762, is 2.

Now, the common factors can be found like this.

970:2x 5x 97

912:2x 2x 2x 2x 3x 19

602:2x 7x 43

810:2x 3x 3x 3x 3x 5

762:2x 3x 127

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 5 = 360

Therefore, the value for common factors is 360.

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 = 328702535481600/(2x360)

LCM = 328702535481600/720

LCM = 456531299280

Thus, we can understand that the LCM of 970,912,602,810,762 is 456531299280.

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

• LCM of 989, 362, 380, 922, 656
• LCM of 256, 460, 626, 969, 639
• LCM of 727, 573, 494, 575, 348
• LCM of 537, 819, 543, 901, 649
• LCM of 308, 836, 391, 531, 511

1. What is the LCM of 970, 912, 602, 810, 762?

Answer: LCM of 970, 912, 602, 810, 762 is 456531299280.

2. How to calculate the LCM of 970, 912, 602, 810, 762?

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 970, 912, 602, 810, 762.

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}.