Given numbers are 385,177,224,749

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

The LCM of 385,177,224,749 is 233328480.

Find LCM of 385,177,224,749 with Prime Factorization

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

7 x 55 x 177 x 32 x 107 = 233328480

Therefore, the lowest common multiple of 385,177,224,749 is 233328480.

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.

385 x 177 x 224 x 749 = 11433095520

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

177 : 1, 3, 59, 177

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,177,224,749, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

177:3x 59

224:2x 2x 2x 2x 2x 7

749:7x 107

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 11433095520/(1x49)

LCM = 11433095520/49

LCM = 233328480

Thus, we can understand that the LCM of 385,177,224,749 is 233328480.

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

• LCM of 864, 439, 603, 757
• LCM of 295, 687, 179, 447
• LCM of 304, 280, 851, 276
• LCM of 596, 551, 884, 985
• LCM of 385, 601, 710, 402

1. What is the LCM of 385, 177, 224, 749?

Answer: LCM of 385, 177, 224, 749 is 233328480.

2. How to calculate the LCM of 385, 177, 224, 749?

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 385, 177, 224, 749.

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}.