Given numbers are 714,207,700,840,841

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

The LCM of 714,207,700,840,841 is 4143270600.

Find LCM of 714,207,700,840,841 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 17 x 69 x 5 x 2 x 841 = 4143270600

Therefore, the lowest common multiple of 714,207,700,840,841 is 4143270600.

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 207 x 700 x 840 x 841 = 73087293384000

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

207 : 1, 3, 9, 23, 69, 207

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,207,700,840,841, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

207:3x 3x 23

700:2x 2x 5x 5x 7

840:2x 2x 2x 3x 5x 7

841:29x 29

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 5x 7x 7 = 17640

Therefore, the value for common factors is 17640.

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 = 73087293384000/(1x17640)

LCM = 73087293384000/17640

LCM = 4143270600

Thus, we can understand that the LCM of 714,207,700,840,841 is 4143270600.

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

• LCM of 149, 999, 686, 315, 986
• LCM of 911, 152, 677, 140, 716
• LCM of 338, 723, 684, 426, 820
• LCM of 757, 953, 748, 577, 199
• LCM of 808, 304, 279, 239, 451

1. What is the LCM of 714, 207, 700, 840, 841?

Answer: LCM of 714, 207, 700, 840, 841 is 4143270600.

2. How to calculate the LCM of 714, 207, 700, 840, 841?

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, 207, 700, 840, 841.

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}.