Given numbers are 916,250,509,974

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

The LCM of 916,250,509,974 is 28382603500.

Find LCM of 916,250,509,974 with Prime Factorization

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

2 x 458 x 125 x 509 x 487 = 28382603500

Therefore, the lowest common multiple of 916,250,509,974 is 28382603500.

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.

916 x 250 x 509 x 974 = 113530414000

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.

916 : 1, 2, 4, 229, 458, 916

250 : 1, 2, 5, 10, 25, 50, 125, 250

509 : 1, 509

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,250,509,974, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

250:2x 5x 5x 5

509:509

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 113530414000/(1x4)

LCM = 113530414000/4

LCM = 28382603500

Thus, we can understand that the LCM of 916,250,509,974 is 28382603500.

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

• LCM of 597, 390, 765, 144
• LCM of 483, 884, 898, 627
• LCM of 734, 856, 582, 377
• LCM of 544, 620, 781, 180
• LCM of 992, 185, 913, 910

1. What is the LCM of 916, 250, 509, 974?

Answer: LCM of 916, 250, 509, 974 is 28382603500.

2. How to calculate the LCM of 916, 250, 509, 974?

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 916, 250, 509, 974.

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}.