Given numbers are 714,971,720,622,165

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

The LCM of 714,971,720,622,165 is 284611052880.

Find LCM of 714,971,720,622,165 with Prime Factorization

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

2 x 3 x 5 x 119 x 971 x 24 x 311 x 11 = 284611052880

Therefore, the lowest common multiple of 714,971,720,622,165 is 284611052880.

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.

714 x 971 x 720 x 622 x 165 = 51229989518400

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

971 : 1, 971

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

622 : 1, 2, 311, 622

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,971,720,622,165, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

971:971

720:2x 2x 2x 2x 3x 3x 5

622:2x 311

165:3x 5x 11

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 51229989518400/(1x180)

LCM = 51229989518400/180

LCM = 284611052880

Thus, we can understand that the LCM of 714,971,720,622,165 is 284611052880.

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

• LCM of 525, 792, 409, 245, 828
• LCM of 439, 992, 500, 339, 361
• LCM of 158, 754, 707, 452, 977
• LCM of 238, 547, 811, 865, 807
• LCM of 475, 928, 561, 937, 864

1. What is the LCM of 714, 971, 720, 622, 165?

Answer: LCM of 714, 971, 720, 622, 165 is 284611052880.

2. How to calculate the LCM of 714, 971, 720, 622, 165?

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 714, 971, 720, 622, 165.

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}.