Given numbers are 347,458,478,700,444

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

The LCM of 347,458,478,700,444 is 1475651748900.

Find LCM of 347,458,478,700,444 with Prime Factorization

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

2 x 2 x 347 x 229 x 239 x 175 x 111 = 1475651748900

Therefore, the lowest common multiple of 347,458,478,700,444 is 1475651748900.

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.

347 x 458 x 478 x 700 x 444 = 23610427982400

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.

347 : 1, 347

458 : 1, 2, 229, 458

478 : 1, 2, 239, 478

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,458,478,700,444, is 1.

Now, the common factors can be found like this.

347:347

458:2x 229

478:2x 239

700:2x 2x 5x 5x 7

444:2x 2x 3x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 23610427982400/(1x16)

LCM = 23610427982400/16

LCM = 1475651748900

Thus, we can understand that the LCM of 347,458,478,700,444 is 1475651748900.

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

• LCM of 765, 756, 222, 842, 575
• LCM of 314, 661, 108, 224, 938
• LCM of 986, 633, 416, 790, 957
• LCM of 703, 844, 594, 109, 661
• LCM of 200, 126, 307, 930, 754

1. What is the LCM of 347, 458, 478, 700, 444?

Answer: LCM of 347, 458, 478, 700, 444 is 1475651748900.

2. How to calculate the LCM of 347, 458, 478, 700, 444?

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 347, 458, 478, 700, 444.

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}.