Given numbers are 710,900,458,742

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

The LCM of 710,900,458,742 is 5428880100.

Find LCM of 710,900,458,742 with Prime Factorization

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

2 x 5 x 71 x 90 x 229 x 371 = 5428880100

Therefore, the lowest common multiple of 710,900,458,742 is 5428880100.

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.

710 x 900 x 458 x 742 = 217155204000

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

458 : 1, 2, 229, 458

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,900,458,742, is 2.

Now, the common factors can be found like this.

710:2x 5x 71

900:2x 2x 3x 3x 5x 5

458:2x 229

742:2x 7x 53

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 5 = 20

Therefore, the value for common factors is 20.

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 = 217155204000/(2x20)

LCM = 217155204000/40

LCM = 5428880100

Thus, we can understand that the LCM of 710,900,458,742 is 5428880100.

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

• LCM of 434, 894, 336, 628
• LCM of 197, 791, 836, 817
• LCM of 870, 253, 912, 549
• LCM of 612, 399, 429, 271
• LCM of 508, 819, 892, 103

1. What is the LCM of 710, 900, 458, 742?

Answer: LCM of 710, 900, 458, 742 is 5428880100.

2. How to calculate the LCM of 710, 900, 458, 742?

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 710, 900, 458, 742.

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}.