Given numbers are 392,202,570,762,618

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

The LCM of 392,202,570,762,618 is 147602341320.

Find LCM of 392,202,570,762,618 with Prime Factorization

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

2 x 3 x 196 x 101 x 95 x 127 x 103 = 147602341320

Therefore, the lowest common multiple of 392,202,570,762,618 is 147602341320.

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.

392 x 202 x 570 x 762 x 618 = 21254737150080

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

202 : 1, 2, 101, 202

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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

618 : 1, 2, 3, 6, 103, 206, 309, 618

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,202,570,762,618, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

202:2x 101

570:2x 3x 5x 19

762:2x 3x 127

618:2x 3x 103

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 3 = 72

Therefore, the value for common factors is 72.

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 = 21254737150080/(2x72)

LCM = 21254737150080/144

LCM = 147602341320

Thus, we can understand that the LCM of 392,202,570,762,618 is 147602341320.

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

• LCM of 917, 467, 956, 990, 373
• LCM of 509, 182, 497, 316, 743
• LCM of 616, 284, 688, 307, 319
• LCM of 318, 562, 290, 485, 748
• LCM of 710, 845, 288, 113, 617

1. What is the LCM of 392, 202, 570, 762, 618?

Answer: LCM of 392, 202, 570, 762, 618 is 147602341320.

2. How to calculate the LCM of 392, 202, 570, 762, 618?

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 392, 202, 570, 762, 618.

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}.