Given numbers are 357,742,749,284

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

The LCM of 357,742,749,284 is 574971348.

Find LCM of 357,742,749,284 with Prime Factorization

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

2 x 7 x 51 x 53 x 107 x 142 = 574971348

Therefore, the lowest common multiple of 357,742,749,284 is 574971348.

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.

357 x 742 x 749 x 284 = 56347192104

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

742 : 1, 2, 7, 14, 53, 106, 371, 742

749 : 1, 7, 107, 749

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,742,749,284, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

742:2x 7x 53

749:7x 107

284:2x 2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 56347192104/(1x98)

LCM = 56347192104/98

LCM = 574971348

Thus, we can understand that the LCM of 357,742,749,284 is 574971348.

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

• LCM of 692, 715, 730, 816
• LCM of 291, 877, 404, 429
• LCM of 225, 352, 286, 126
• LCM of 386, 179, 938, 651
• LCM of 639, 243, 919, 118

1. What is the LCM of 357, 742, 749, 284?

Answer: LCM of 357, 742, 749, 284 is 574971348.

2. How to calculate the LCM of 357, 742, 749, 284?

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 357, 742, 749, 284.

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}.