Given numbers are 953,163,720,145,238

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

The LCM of 953,163,720,145,238 is 385973920080.

Find LCM of 953,163,720,145,238 with Prime Factorization

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

2 x 5 x 953 x 163 x 72 x 29 x 119 = 385973920080

Therefore, the lowest common multiple of 953,163,720,145,238 is 385973920080.

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.

953 x 163 x 720 x 145 x 238 = 3859739200800

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.

953 : 1, 953

163 : 1, 163

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

145 : 1, 5, 29, 145

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,163,720,145,238, is 1.

Now, the common factors can be found like this.

953:953

163:163

720:2x 2x 2x 2x 3x 3x 5

145:5x 29

238:2x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 3859739200800/(1x10)

LCM = 3859739200800/10

LCM = 385973920080

Thus, we can understand that the LCM of 953,163,720,145,238 is 385973920080.

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

• LCM of 605, 882, 605, 347, 985
• LCM of 102, 987, 392, 417, 804
• LCM of 929, 914, 279, 165, 858
• LCM of 114, 242, 760, 443, 123
• LCM of 668, 890, 232, 283, 397

1. What is the LCM of 953, 163, 720, 145, 238?

Answer: LCM of 953, 163, 720, 145, 238 is 385973920080.

2. How to calculate the LCM of 953, 163, 720, 145, 238?

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 953, 163, 720, 145, 238.

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}.