Given numbers are 253,146,578,368,107

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

The LCM of 253,146,578,368,107 is 9137870192.

Find LCM of 253,146,578,368,107 with Prime Factorization

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

2 x 23 x 11 x 73 x 289 x 8 x 107 = 9137870192

Therefore, the lowest common multiple of 253,146,578,368,107 is 9137870192.

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.

253 x 146 x 578 x 368 x 107 = 840684057664

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.

253 : 1, 11, 23, 253

146 : 1, 2, 73, 146

578 : 1, 2, 17, 34, 289, 578

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,146,578,368,107, is 1.

Now, the common factors can be found like this.

253:11x 23

146:2x 73

578:2x 17x 17

368:2x 2x 2x 2x 23

107:107

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 23 = 92

Therefore, the value for common factors is 92.

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 = 840684057664/(1x92)

LCM = 840684057664/92

LCM = 9137870192

Thus, we can understand that the LCM of 253,146,578,368,107 is 9137870192.

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

• LCM of 196, 424, 157, 783, 763
• LCM of 322, 441, 337, 890, 743
• LCM of 670, 745, 427, 887, 646
• LCM of 891, 473, 947, 862, 674
• LCM of 854, 231, 112, 255, 444

1. What is the LCM of 253, 146, 578, 368, 107?

Answer: LCM of 253, 146, 578, 368, 107 is 9137870192.

2. How to calculate the LCM of 253, 146, 578, 368, 107?

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 253, 146, 578, 368, 107.

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}.