Given numbers are 420,952,350,921,507

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

The LCM of 420,952,350,921,507 is 3704446200.

Find LCM of 420,952,350,921,507 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 1 x 34 x 5 x 307 x 169 = 3704446200

Therefore, the lowest common multiple of 420,952,350,921,507 is 3704446200.

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.

420 x 952 x 350 x 921 x 507 = 65346430968000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

921 : 1, 3, 307, 921

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,952,350,921,507, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

952:2x 2x 2x 7x 17

350:2x 5x 5x 7

921:3x 307

507:3x 13x 13

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 5x 7x 7 = 17640

Therefore, the value for common factors is 17640.

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 = 65346430968000/(1x17640)

LCM = 65346430968000/17640

LCM = 3704446200

Thus, we can understand that the LCM of 420,952,350,921,507 is 3704446200.

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

• LCM of 531, 376, 298, 858, 310
• LCM of 752, 489, 885, 865, 947
• LCM of 678, 641, 830, 236, 477
• LCM of 540, 786, 558, 398, 271
• LCM of 969, 822, 199, 757, 614

1. What is the LCM of 420, 952, 350, 921, 507?

Answer: LCM of 420, 952, 350, 921, 507 is 3704446200.

2. How to calculate the LCM of 420, 952, 350, 921, 507?

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 420, 952, 350, 921, 507.

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}.