Given numbers are 560,119,334,214

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

The LCM of 560,119,334,214 is 170112880.

Find LCM of 560,119,334,214 with Prime Factorization

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

2 x 7 x 40 x 17 x 167 x 107 = 170112880

Therefore, the lowest common multiple of 560,119,334,214 is 170112880.

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.

560 x 119 x 334 x 214 = 4763160640

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

119 : 1, 7, 17, 119

334 : 1, 2, 167, 334

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,119,334,214, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

119:7x 17

334:2x 167

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.

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 4763160640/(1x28)

LCM = 4763160640/28

LCM = 170112880

Thus, we can understand that the LCM of 560,119,334,214 is 170112880.

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

• LCM of 545, 819, 765, 457
• LCM of 896, 746, 438, 589
• LCM of 611, 458, 376, 782
• LCM of 126, 278, 972, 333
• LCM of 576, 555, 333, 265

1. What is the LCM of 560, 119, 334, 214?

Answer: LCM of 560, 119, 334, 214 is 170112880.

2. How to calculate the LCM of 560, 119, 334, 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 560, 119, 334, 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}.