Given numbers are 735,624,438,358

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

The LCM of 735,624,438,358 is 1997682960.

Find LCM of 735,624,438,358 with Prime Factorization

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

2 x 3 x 245 x 104 x 73 x 179 = 1997682960

Therefore, the lowest common multiple of 735,624,438,358 is 1997682960.

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.

735 x 624 x 438 x 358 = 71916586560

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,624,438,358, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

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

438:2x 3x 73

358:2x 179

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 3 = 36

Therefore, the value for common factors is 36.

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 = 71916586560/(1x36)

LCM = 71916586560/36

LCM = 1997682960

Thus, we can understand that the LCM of 735,624,438,358 is 1997682960.

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

• LCM of 224, 269, 664, 830
• LCM of 839, 820, 756, 648
• LCM of 398, 502, 858, 385
• LCM of 206, 313, 202, 198
• LCM of 363, 820, 292, 187

1. What is the LCM of 735, 624, 438, 358?

Answer: LCM of 735, 624, 438, 358 is 1997682960.

2. How to calculate the LCM of 735, 624, 438, 358?

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 735, 624, 438, 358.

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}.