Given numbers are 617,824,759,214

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

The LCM of 617,824,759,214 is 41289338904.

Find LCM of 617,824,759,214 with Prime Factorization

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

2 x 617 x 412 x 759 x 107 = 41289338904

Therefore, the lowest common multiple of 617,824,759,214 is 41289338904.

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.

617 x 824 x 759 x 214 = 82578677808

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.

617 : 1, 617

824 : 1, 2, 4, 8, 103, 206, 412, 824

759 : 1, 3, 11, 23, 33, 69, 253, 759

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,824,759,214, is 1.

Now, the common factors can be found like this.

617:617

824:2x 2x 2x 103

759:3x 11x 23

214:2x 107

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 = 82578677808/(1x2)

LCM = 82578677808/2

LCM = 41289338904

Thus, we can understand that the LCM of 617,824,759,214 is 41289338904.

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

• LCM of 206, 896, 224, 648
• LCM of 966, 290, 818, 783
• LCM of 841, 918, 461, 668
• LCM of 261, 477, 493, 255
• LCM of 693, 353, 956, 960

1. What is the LCM of 617, 824, 759, 214?

Answer: LCM of 617, 824, 759, 214 is 41289338904.

2. How to calculate the LCM of 617, 824, 759, 214?

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 617, 824, 759, 214.

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}.