Given numbers are 152,713,214,260

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

The LCM of 152,713,214,260 is 753755080.

Find LCM of 152,713,214,260 with Prime Factorization

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

2 x 2 x 38 x 713 x 107 x 65 = 753755080

Therefore, the lowest common multiple of 152,713,214,260 is 753755080.

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.

152 x 713 x 214 x 260 = 6030040640

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

713 : 1, 23, 31, 713

214 : 1, 2, 107, 214

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,713,214,260, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

713:23x 31

214:2x 107

260:2x 2x 5x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6030040640/(1x8)

LCM = 6030040640/8

LCM = 753755080

Thus, we can understand that the LCM of 152,713,214,260 is 753755080.

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

• LCM of 609, 807, 138, 161
• LCM of 990, 785, 564, 923
• LCM of 109, 484, 445, 987
• LCM of 100, 499, 535, 650
• LCM of 775, 376, 911, 652

1. What is the LCM of 152, 713, 214, 260?

Answer: LCM of 152, 713, 214, 260 is 753755080.

2. How to calculate the LCM of 152, 713, 214, 260?

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 152, 713, 214, 260.

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}.