Given numbers are 610,900,397,514

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

The LCM of 610,900,397,514 is 5601392100.

Find LCM of 610,900,397,514 with Prime Factorization

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

2 x 5 x 61 x 90 x 397 x 257 = 5601392100

Therefore, the lowest common multiple of 610,900,397,514 is 5601392100.

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.

610 x 900 x 397 x 514 = 112027842000

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

397 : 1, 397

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,900,397,514, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

900:2x 2x 3x 3x 5x 5

397:397

514:2x 257

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 5 = 20

Therefore, the value for common factors is 20.

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 = 112027842000/(1x20)

LCM = 112027842000/20

LCM = 5601392100

Thus, we can understand that the LCM of 610,900,397,514 is 5601392100.

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

• LCM of 948, 869, 828, 930
• LCM of 150, 573, 800, 880
• LCM of 596, 395, 782, 501
• LCM of 409, 541, 314, 256
• LCM of 303, 740, 428, 136

1. What is the LCM of 610, 900, 397, 514?

Answer: LCM of 610, 900, 397, 514 is 5601392100.

2. How to calculate the LCM of 610, 900, 397, 514?

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 610, 900, 397, 514.

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}.