Given numbers are 974,590,409,507

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

The LCM of 974,590,409,507 is 59581610790.

Find LCM of 974,590,409,507 with Prime Factorization

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

2 x 487 x 295 x 409 x 507 = 59581610790

Therefore, the lowest common multiple of 974,590,409,507 is 59581610790.

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.

974 x 590 x 409 x 507 = 119163221580

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.

974 : 1, 2, 487, 974

590 : 1, 2, 5, 10, 59, 118, 295, 590

409 : 1, 409

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 974,590,409,507, is 1.

Now, the common factors can be found like this.

974:2x 487

590:2x 5x 59

409:409

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 119163221580/(1x2)

LCM = 119163221580/2

LCM = 59581610790

Thus, we can understand that the LCM of 974,590,409,507 is 59581610790.

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

• LCM of 765, 505, 222, 774
• LCM of 422, 358, 489, 548
• LCM of 547, 587, 567, 978
• LCM of 688, 239, 256, 313
• LCM of 831, 766, 714, 567

1. What is the LCM of 974, 590, 409, 507?

Answer: LCM of 974, 590, 409, 507 is 59581610790.

2. How to calculate the LCM of 974, 590, 409, 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 974, 590, 409, 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}.