Given numbers are 715,471,560,740,965

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

The LCM of 715,471,560,740,965 is 269341952880.

Find LCM of 715,471,560,740,965 with Prime Factorization

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

2 x 2 x 5 x 143 x 471 x 28 x 37 x 193 = 269341952880

Therefore, the lowest common multiple of 715,471,560,740,965 is 269341952880.

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.

715 x 471 x 560 x 740 x 965 = 134670976440000

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

471 : 1, 3, 157, 471

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,471,560,740,965, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

471:3x 157

560:2x 2x 2x 2x 5x 7

740:2x 2x 5x 37

965:5x 193

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 134670976440000/(1x500)

LCM = 134670976440000/500

LCM = 269341952880

Thus, we can understand that the LCM of 715,471,560,740,965 is 269341952880.

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

• LCM of 586, 968, 683, 312, 377
• LCM of 353, 845, 501, 893, 267
• LCM of 934, 360, 248, 419, 168
• LCM of 143, 773, 649, 559, 744
• LCM of 266, 210, 669, 693, 245

1. What is the LCM of 715, 471, 560, 740, 965?

Answer: LCM of 715, 471, 560, 740, 965 is 269341952880.

2. How to calculate the LCM of 715, 471, 560, 740, 965?

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 715, 471, 560, 740, 965.

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}.