Given numbers are 224,496,569,968,350

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

The LCM of 224,496,569,968,350 is 11952186400.

Find LCM of 224,496,569,968,350 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 2 x 31 x 569 x 121 x 25 = 11952186400

Therefore, the lowest common multiple of 224,496,569,968,350 is 11952186400.

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.

224 x 496 x 569 x 968 x 350 = 21418318028800

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.

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

569 : 1, 569

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,496,569,968,350, is 1.

Now, the common factors can be found like this.

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

496:2x 2x 2x 2x 31

569:569

968:2x 2x 2x 11x 11

350:2x 5x 5x 7

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 2x 2x 2x 2x 2x 7 = 1792

Therefore, the value for common factors is 1792.

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 = 21418318028800/(1x1792)

LCM = 21418318028800/1792

LCM = 11952186400

Thus, we can understand that the LCM of 224,496,569,968,350 is 11952186400.

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

• LCM of 926, 460, 600, 898, 642
• LCM of 419, 143, 357, 286, 390
• LCM of 801, 378, 314, 903, 461
• LCM of 785, 142, 918, 562, 245
• LCM of 200, 819, 490, 636, 842

1. What is the LCM of 224, 496, 569, 968, 350?

Answer: LCM of 224, 496, 569, 968, 350 is 11952186400.

2. How to calculate the LCM of 224, 496, 569, 968, 350?

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 224, 496, 569, 968, 350.

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}.