Given numbers are 357,268,749,469

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

The LCM of 357,268,749,469 is 10237332.

Find LCM of 357,268,749,469 with Prime Factorization

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

7 x 67 x 51 x 4 x 107 x 1 = 10237332

Therefore, the lowest common multiple of 357,268,749,469 is 10237332.

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 268 x 749 x 469 = 33609160956

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

268 : 1, 2, 4, 67, 134, 268

749 : 1, 7, 107, 749

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,268,749,469, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

268:2x 2x 67

749:7x 107

469:7x 67

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

7x 7x 67 = 3283

Therefore, the value for common factors is 3283.

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 = 33609160956/(1x3283)

LCM = 33609160956/3283

LCM = 10237332

Thus, we can understand that the LCM of 357,268,749,469 is 10237332.

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

• LCM of 145, 311, 606, 389
• LCM of 870, 731, 529, 790
• LCM of 214, 443, 346, 172
• LCM of 358, 286, 588, 200
• LCM of 904, 727, 454, 309

1. What is the LCM of 357, 268, 749, 469?

Answer: LCM of 357, 268, 749, 469 is 10237332.

2. How to calculate the LCM of 357, 268, 749, 469?

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, 268, 749, 469.

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}.