Given numbers are 748,258,644,624,394

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

The LCM of 748,258,644,624,394 is 159142711728.

Find LCM of 748,258,644,624,394 with Prime Factorization

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

2 x 2 x 3 x 187 x 43 x 161 x 52 x 197 = 159142711728

Therefore, the lowest common multiple of 748,258,644,624,394 is 159142711728.

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.

748 x 258 x 644 x 624 x 394 = 30555400651776

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

258 : 1, 2, 3, 6, 43, 86, 129, 258

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,258,644,624,394, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

258:2x 3x 43

644:2x 2x 7x 23

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

394:2x 197

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 3 = 96

Therefore, the value for common factors is 96.

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 = 30555400651776/(2x96)

LCM = 30555400651776/192

LCM = 159142711728

Thus, we can understand that the LCM of 748,258,644,624,394 is 159142711728.

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

• LCM of 649, 520, 795, 644, 399
• LCM of 958, 832, 982, 851, 173
• LCM of 787, 783, 719, 769, 319
• LCM of 848, 644, 454, 520, 321
• LCM of 224, 695, 103, 444, 883

1. What is the LCM of 748, 258, 644, 624, 394?

Answer: LCM of 748, 258, 644, 624, 394 is 159142711728.

2. How to calculate the LCM of 748, 258, 644, 624, 394?

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 748, 258, 644, 624, 394.

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}.