Given numbers are 735,674,374,624

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

The LCM of 735,674,374,624 is 9634344720.

Find LCM of 735,674,374,624 with Prime Factorization

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

2 x 3 x 245 x 337 x 187 x 104 = 9634344720

Therefore, the lowest common multiple of 735,674,374,624 is 9634344720.

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 674 x 374 x 624 = 115612136640

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

674 : 1, 2, 337, 674

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,674,374,624, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

674:2x 337

374:2x 11x 17

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

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 3 = 12

Therefore, the value for common factors is 12.

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 = 115612136640/(1x12)

LCM = 115612136640/12

LCM = 9634344720

Thus, we can understand that the LCM of 735,674,374,624 is 9634344720.

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

• LCM of 917, 885, 535, 124
• LCM of 400, 792, 309, 307
• LCM of 850, 908, 985, 445
• LCM of 484, 168, 206, 890
• LCM of 381, 276, 204, 225

1. What is the LCM of 735, 674, 374, 624?

Answer: LCM of 735, 674, 374, 624 is 9634344720.

2. How to calculate the LCM of 735, 674, 374, 624?

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, 674, 374, 624.

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}.