Given numbers are 604,312,241,900,143

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

The LCM of 604,312,241,900,143 is 9367043400.

Find LCM of 604,312,241,900,143 with Prime Factorization

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

2 x 2 x 3 x 13 x 151 x 2 x 241 x 75 x 11 = 9367043400

Therefore, the lowest common multiple of 604,312,241,900,143 is 9367043400.

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.

604 x 312 x 241 x 900 x 143 = 5845035081600

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.

604 : 1, 2, 4, 151, 302, 604

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

241 : 1, 241

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

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,312,241,900,143, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

312:2x 2x 2x 3x 13

241:241

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

143:11x 13

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 2x 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 5845035081600/(1x624)

LCM = 5845035081600/624

LCM = 9367043400

Thus, we can understand that the LCM of 604,312,241,900,143 is 9367043400.

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

• LCM of 910, 156, 865, 875, 816
• LCM of 779, 999, 112, 181, 239
• LCM of 719, 691, 485, 525, 730
• LCM of 407, 400, 590, 589, 150
• LCM of 871, 864, 938, 754, 743

1. What is the LCM of 604, 312, 241, 900, 143?

Answer: LCM of 604, 312, 241, 900, 143 is 9367043400.

2. How to calculate the LCM of 604, 312, 241, 900, 143?

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 604, 312, 241, 900, 143.

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}.