Given numbers are 514,970,899,674

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

The LCM of 514,970,899,674 is 75525646270.

Find LCM of 514,970,899,674 with Prime Factorization

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

2 x 257 x 485 x 899 x 337 = 75525646270

Therefore, the lowest common multiple of 514,970,899,674 is 75525646270.

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.

514 x 970 x 899 x 674 = 302102585080

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.

514 : 1, 2, 257, 514

970 : 1, 2, 5, 10, 97, 194, 485, 970

899 : 1, 29, 31, 899

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,970,899,674, is 1.

Now, the common factors can be found like this.

514:2x 257

970:2x 5x 97

899:29x 31

674:2x 337

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 = 302102585080/(1x4)

LCM = 302102585080/4

LCM = 75525646270

Thus, we can understand that the LCM of 514,970,899,674 is 75525646270.

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

• LCM of 864, 870, 962, 631
• LCM of 269, 910, 433, 294
• LCM of 736, 756, 738, 995
• LCM of 156, 801, 666, 488
• LCM of 575, 110, 853, 506

1. What is the LCM of 514, 970, 899, 674?

Answer: LCM of 514, 970, 899, 674 is 75525646270.

2. How to calculate the LCM of 514, 970, 899, 674?

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 514, 970, 899, 674.

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}.