Given numbers are 378,592,703,107,868

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

The LCM of 378,592,703,107,868 is 7051517424.

Find LCM of 378,592,703,107,868 with Prime Factorization

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

2 x 2 x 7 x 37 x 27 x 4 x 19 x 107 x 31 = 7051517424

Therefore, the lowest common multiple of 378,592,703,107,868 is 7051517424.

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.

378 x 592 x 703 x 107 x 868 = 14610744102528

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.

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

703 : 1, 19, 37, 703

107 : 1, 107

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,592,703,107,868, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

592:2x 2x 2x 2x 37

703:19x 37

107:107

868:2x 2x 7x 31

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 7x 37 = 2072

Therefore, the value for common factors is 2072.

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 = 14610744102528/(1x2072)

LCM = 14610744102528/2072

LCM = 7051517424

Thus, we can understand that the LCM of 378,592,703,107,868 is 7051517424.

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

• LCM of 528, 630, 394, 926, 822
• LCM of 685, 774, 107, 272, 561
• LCM of 528, 948, 663, 589, 762
• LCM of 428, 596, 720, 983, 396
• LCM of 384, 100, 918, 184, 446

1. What is the LCM of 378, 592, 703, 107, 868?

Answer: LCM of 378, 592, 703, 107, 868 is 7051517424.

2. How to calculate the LCM of 378, 592, 703, 107, 868?

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 378, 592, 703, 107, 868.

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}.