Given numbers are 902,301,728,900

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

The LCM of 902,301,728,900 is 3176573400.

Find LCM of 902,301,728,900 with Prime Factorization

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

2 x 2 x 7 x 451 x 43 x 26 x 225 = 3176573400

Therefore, the lowest common multiple of 902,301,728,900 is 3176573400.

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.

902 x 301 x 728 x 900 = 177888110400

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

301 : 1, 7, 43, 301

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,301,728,900, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

301:7x 43

728:2x 2x 2x 7x 13

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

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 7 = 56

Therefore, the value for common factors is 56.

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 = 177888110400/(1x56)

LCM = 177888110400/56

LCM = 3176573400

Thus, we can understand that the LCM of 902,301,728,900 is 3176573400.

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

• LCM of 992, 826, 925, 714
• LCM of 122, 479, 669, 146
• LCM of 732, 798, 836, 890
• LCM of 356, 404, 452, 604
• LCM of 430, 723, 334, 712

1. What is the LCM of 902, 301, 728, 900?

Answer: LCM of 902, 301, 728, 900 is 3176573400.

2. How to calculate the LCM of 902, 301, 728, 900?

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 902, 301, 728, 900.

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}.