Given numbers are 514,146,177,101,920

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

The LCM of 514,146,177,101,920 is 308559165240.

Find LCM of 514,146,177,101,920 with Prime Factorization

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

2 x 257 x 73 x 177 x 101 x 460 = 308559165240

Therefore, the lowest common multiple of 514,146,177,101,920 is 308559165240.

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 146 x 177 x 101 x 920 = 1234236660960

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

146 : 1, 2, 73, 146

177 : 1, 3, 59, 177

101 : 1, 101

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,146,177,101,920, is 1.

Now, the common factors can be found like this.

514:2x 257

146:2x 73

177:3x 59

101:101

920:2x 2x 2x 5x 23

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 = 1234236660960/(1x4)

LCM = 1234236660960/4

LCM = 308559165240

Thus, we can understand that the LCM of 514,146,177,101,920 is 308559165240.

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

• LCM of 114, 123, 824, 622, 680
• LCM of 999, 837, 541, 526, 502
• LCM of 222, 960, 136, 970, 731
• LCM of 442, 273, 968, 539, 177
• LCM of 823, 793, 330, 799, 666

1. What is the LCM of 514, 146, 177, 101, 920?

Answer: LCM of 514, 146, 177, 101, 920 is 308559165240.

2. How to calculate the LCM of 514, 146, 177, 101, 920?

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, 146, 177, 101, 920.

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}.