Given numbers are 253,737,324,880,214

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

The LCM of 253,737,324,880,214 is 11753145360.

Find LCM of 253,737,324,880,214 with Prime Factorization

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

2 x 2 x 11 x 23 x 67 x 81 x 20 x 107 = 11753145360

Therefore, the lowest common multiple of 253,737,324,880,214 is 11753145360.

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.

253 x 737 x 324 x 880 x 214 = 11377044708480

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.

253 : 1, 11, 23, 253

737 : 1, 11, 67, 737

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,737,324,880,214, is 1.

Now, the common factors can be found like this.

253:11x 23

737:11x 67

324:2x 2x 3x 3x 3x 3

880:2x 2x 2x 2x 5x 11

214:2x 107

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 11377044708480/(1x968)

LCM = 11377044708480/968

LCM = 11753145360

Thus, we can understand that the LCM of 253,737,324,880,214 is 11753145360.

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

• LCM of 241, 950, 739, 817, 356
• LCM of 975, 929, 506, 654, 720
• LCM of 948, 993, 831, 175, 895
• LCM of 887, 856, 887, 830, 587
• LCM of 620, 777, 855, 566, 233

1. What is the LCM of 253, 737, 324, 880, 214?

Answer: LCM of 253, 737, 324, 880, 214 is 11753145360.

2. How to calculate the LCM of 253, 737, 324, 880, 214?

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 253, 737, 324, 880, 214.

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}.