Given numbers are 674,487,290,820,600

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

The LCM of 674,487,290,820,600 is 117082494600.

Find LCM of 674,487,290,820,600 with Prime Factorization

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

2 x 2 x 5 x 337 x 487 x 29 x 41 x 30 = 117082494600

Therefore, the lowest common multiple of 674,487,290,820,600 is 117082494600.

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.

674 x 487 x 290 x 820 x 600 = 46832997840000

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.

674 : 1, 2, 337, 674

487 : 1, 487

290 : 1, 2, 5, 10, 29, 58, 145, 290

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,487,290,820,600, is 1.

Now, the common factors can be found like this.

674:2x 337

487:487

290:2x 5x 29

820:2x 2x 5x 41

600:2x 2x 2x 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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 46832997840000/(1x400)

LCM = 46832997840000/400

LCM = 117082494600

Thus, we can understand that the LCM of 674,487,290,820,600 is 117082494600.

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

• LCM of 196, 321, 570, 409, 688
• LCM of 814, 499, 561, 330, 875
• LCM of 790, 528, 670, 142, 143
• LCM of 578, 141, 157, 404, 774
• LCM of 119, 110, 620, 154, 229

1. What is the LCM of 674, 487, 290, 820, 600?

Answer: LCM of 674, 487, 290, 820, 600 is 117082494600.

2. How to calculate the LCM of 674, 487, 290, 820, 600?

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 674, 487, 290, 820, 600.

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}.