Given numbers are 300,506,703,562,378

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

The LCM of 300,506,703,562,378 is 944591363100.

Find LCM of 300,506,703,562,378 with Prime Factorization

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

2 x 3 x 50 x 253 x 703 x 281 x 63 = 944591363100

Therefore, the lowest common multiple of 300,506,703,562,378 is 944591363100.

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.

300 x 506 x 703 x 562 x 378 = 22670192714400

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

506 : 1, 2, 11, 22, 23, 46, 253, 506

703 : 1, 19, 37, 703

562 : 1, 2, 281, 562

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,506,703,562,378, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

506:2x 11x 23

703:19x 37

562:2x 281

378:2x 3x 3x 3x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 22670192714400/(1x24)

LCM = 22670192714400/24

LCM = 944591363100

Thus, we can understand that the LCM of 300,506,703,562,378 is 944591363100.

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

• LCM of 476, 719, 816, 278, 265
• LCM of 811, 523, 917, 298, 738
• LCM of 378, 759, 884, 877, 817
• LCM of 957, 222, 310, 689, 327
• LCM of 337, 918, 614, 674, 523

1. What is the LCM of 300, 506, 703, 562, 378?

Answer: LCM of 300, 506, 703, 562, 378 is 944591363100.

2. How to calculate the LCM of 300, 506, 703, 562, 378?

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 300, 506, 703, 562, 378.

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}.