Given numbers are 642,576,378,691

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

The LCM of 642,576,378,691 is 894341952.

Find LCM of 642,576,378,691 with Prime Factorization

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

2 x 3 x 3 x 107 x 32 x 21 x 691 = 894341952

Therefore, the lowest common multiple of 642,576,378,691 is 894341952.

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.

642 x 576 x 378 x 691 = 96588930816

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,576,378,691, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

576:2x 2x 2x 2x 2x 2x 3x 3

378:2x 3x 3x 3x 7

691:691

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 96588930816/(1x108)

LCM = 96588930816/108

LCM = 894341952

Thus, we can understand that the LCM of 642,576,378,691 is 894341952.

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

• LCM of 697, 562, 878, 544
• LCM of 846, 448, 818, 402
• LCM of 499, 868, 919, 831
• LCM of 716, 889, 194, 371
• LCM of 273, 153, 245, 406

1. What is the LCM of 642, 576, 378, 691?

Answer: LCM of 642, 576, 378, 691 is 894341952.

2. How to calculate the LCM of 642, 576, 378, 691?

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 642, 576, 378, 691.

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}.