Given numbers are 435,506,716,478

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

The LCM of 435,506,716,478 is 18833051820.

Find LCM of 435,506,716,478 with Prime Factorization

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

2 x 435 x 253 x 358 x 239 = 18833051820

Therefore, the lowest common multiple of 435,506,716,478 is 18833051820.

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.

435 x 506 x 716 x 478 = 75332207280

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

506 : 1, 2, 11, 22, 23, 46, 253, 506

716 : 1, 2, 4, 179, 358, 716

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,506,716,478, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

506:2x 11x 23

716:2x 2x 179

478:2x 239

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 = 75332207280/(1x4)

LCM = 75332207280/4

LCM = 18833051820

Thus, we can understand that the LCM of 435,506,716,478 is 18833051820.

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

• LCM of 141, 485, 721, 618
• LCM of 951, 511, 197, 151
• LCM of 133, 621, 974, 816
• LCM of 349, 711, 595, 380
• LCM of 640, 341, 745, 567

1. What is the LCM of 435, 506, 716, 478?

Answer: LCM of 435, 506, 716, 478 is 18833051820.

2. How to calculate the LCM of 435, 506, 716, 478?

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 435, 506, 716, 478.

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}.