Given numbers are 735,958,524,264

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

The LCM of 735,958,524,264 is 4058605320.

Find LCM of 735,958,524,264 with Prime Factorization

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

2 x 2 x 3 x 245 x 479 x 131 x 22 = 4058605320

Therefore, the lowest common multiple of 735,958,524,264 is 4058605320.

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 958 x 524 x 264 = 97406527680

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

958 : 1, 2, 479, 958

524 : 1, 2, 4, 131, 262, 524

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,958,524,264, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

958:2x 479

524:2x 2x 131

264:2x 2x 2x 3x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 97406527680/(1x24)

LCM = 97406527680/24

LCM = 4058605320

Thus, we can understand that the LCM of 735,958,524,264 is 4058605320.

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

• LCM of 870, 766, 858, 732
• LCM of 104, 109, 895, 251
• LCM of 710, 505, 522, 739
• LCM of 321, 591, 123, 258
• LCM of 371, 705, 942, 702

1. What is the LCM of 735, 958, 524, 264?

Answer: LCM of 735, 958, 524, 264 is 4058605320.

2. How to calculate the LCM of 735, 958, 524, 264?

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, 958, 524, 264.

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}.