Given numbers are 364,604,624,234,471

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

The LCM of 364,604,624,234,471 is 310656528.

Find LCM of 364,604,624,234,471 with Prime Factorization

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

2 x 2 x 3 x 13 x 7 x 151 x 4 x 3 x 157 = 310656528

Therefore, the lowest common multiple of 364,604,624,234,471 is 310656528.

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.

364 x 604 x 624 x 234 x 471 = 15120274530816

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

604 : 1, 2, 4, 151, 302, 604

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,604,624,234,471, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

604:2x 2x 151

624:2x 2x 2x 2x 3x 13

234:2x 3x 3x 13

471:3x 157

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 2x 2x 3x 3x 13x 13 = 48672

Therefore, the value for common factors is 48672.

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 = 15120274530816/(1x48672)

LCM = 15120274530816/48672

LCM = 310656528

Thus, we can understand that the LCM of 364,604,624,234,471 is 310656528.

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

• LCM of 336, 596, 742, 378, 521
• LCM of 121, 479, 773, 300, 987
• LCM of 560, 699, 308, 956, 756
• LCM of 536, 734, 121, 431, 551
• LCM of 263, 914, 831, 501, 139

1. What is the LCM of 364, 604, 624, 234, 471?

Answer: LCM of 364, 604, 624, 234, 471 is 310656528.

2. How to calculate the LCM of 364, 604, 624, 234, 471?

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 364, 604, 624, 234, 471.

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}.