Given numbers are 214,963,452,600,921

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

The LCM of 214,963,452,600,921 is 6681486600.

Find LCM of 214,963,452,600,921 with Prime Factorization

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

2 x 2 x 3 x 107 x 1 x 3 x 113 x 50 x 307 = 6681486600

Therefore, the lowest common multiple of 214,963,452,600,921 is 6681486600.

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.

214 x 963 x 452 x 600 x 921 = 51474172766400

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.

214 : 1, 2, 107, 214

963 : 1, 3, 9, 107, 321, 963

452 : 1, 2, 4, 113, 226, 452

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,963,452,600,921, is 1.

Now, the common factors can be found like this.

214:2x 107

963:3x 3x 107

452:2x 2x 113

600:2x 2x 2x 3x 5x 5

921:3x 307

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 3x 3x 107 = 7704

Therefore, the value for common factors is 7704.

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 = 51474172766400/(1x7704)

LCM = 51474172766400/7704

LCM = 6681486600

Thus, we can understand that the LCM of 214,963,452,600,921 is 6681486600.

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

• LCM of 318, 634, 974, 792, 253
• LCM of 824, 546, 843, 756, 791
• LCM of 706, 333, 984, 405, 788
• LCM of 462, 141, 678, 938, 495
• LCM of 741, 971, 697, 728, 958

1. What is the LCM of 214, 963, 452, 600, 921?

Answer: LCM of 214, 963, 452, 600, 921 is 6681486600.

2. How to calculate the LCM of 214, 963, 452, 600, 921?

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 214, 963, 452, 600, 921.

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}.