Given numbers are 900,740,298,406

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

The LCM of 900,740,298,406 is 1007225100.

Find LCM of 900,740,298,406 with Prime Factorization

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

2 x 2 x 5 x 45 x 37 x 149 x 203 = 1007225100

Therefore, the lowest common multiple of 900,740,298,406 is 1007225100.

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.

900 x 740 x 298 x 406 = 80578008000

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.

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

298 : 1, 2, 149, 298

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,740,298,406, is 2.

Now, the common factors can be found like this.

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

740:2x 2x 5x 37

298:2x 149

406:2x 7x 29

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 5 = 40

Therefore, the value for common factors is 40.

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 = 80578008000/(2x40)

LCM = 80578008000/80

LCM = 1007225100

Thus, we can understand that the LCM of 900,740,298,406 is 1007225100.

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

• LCM of 339, 514, 473, 626
• LCM of 789, 572, 486, 787
• LCM of 138, 612, 161, 815
• LCM of 105, 243, 155, 896
• LCM of 233, 457, 794, 632

1. What is the LCM of 900, 740, 298, 406?

Answer: LCM of 900, 740, 298, 406 is 1007225100.

2. How to calculate the LCM of 900, 740, 298, 406?

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 900, 740, 298, 406.

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}.