Given numbers are 586,749,214,956

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

The LCM of 586,749,214,956 is 209800892.

Find LCM of 586,749,214,956 with Prime Factorization

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

2 x 107 x 293 x 7 x 1 x 478 = 209800892

Therefore, the lowest common multiple of 586,749,214,956 is 209800892.

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.

586 x 749 x 214 x 956 = 89794781776

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.

586 : 1, 2, 293, 586

749 : 1, 7, 107, 749

214 : 1, 2, 107, 214

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,749,214,956, is 1.

Now, the common factors can be found like this.

586:2x 293

749:7x 107

214:2x 107

956:2x 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 2x 107 = 428

Therefore, the value for common factors is 428.

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 = 89794781776/(1x428)

LCM = 89794781776/428

LCM = 209800892

Thus, we can understand that the LCM of 586,749,214,956 is 209800892.

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

• LCM of 334, 426, 191, 567
• LCM of 340, 227, 231, 572
• LCM of 945, 609, 244, 690
• LCM of 670, 683, 721, 314
• LCM of 338, 444, 263, 120

1. What is the LCM of 586, 749, 214, 956?

Answer: LCM of 586, 749, 214, 956 is 209800892.

2. How to calculate the LCM of 586, 749, 214, 956?

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 586, 749, 214, 956.

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}.