Given numbers are 107,138,746,224

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

The LCM of 107,138,746,224 is 616864416.

Find LCM of 107,138,746,224 with Prime Factorization

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

2 x 107 x 69 x 373 x 112 = 616864416

Therefore, the lowest common multiple of 107,138,746,224 is 616864416.

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.

107 x 138 x 746 x 224 = 2467457664

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.

107 : 1, 107

138 : 1, 2, 3, 6, 23, 46, 69, 138

746 : 1, 2, 373, 746

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,138,746,224, is 1.

Now, the common factors can be found like this.

107:107

138:2x 3x 23

746:2x 373

224:2x 2x 2x 2x 2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 2467457664/(1x4)

LCM = 2467457664/4

LCM = 616864416

Thus, we can understand that the LCM of 107,138,746,224 is 616864416.

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

• LCM of 314, 562, 784, 827
• LCM of 980, 888, 606, 126
• LCM of 656, 495, 538, 221
• LCM of 615, 888, 945, 168
• LCM of 222, 249, 781, 554

1. What is the LCM of 107, 138, 746, 224?

Answer: LCM of 107, 138, 746, 224 is 616864416.

2. How to calculate the LCM of 107, 138, 746, 224?

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 107, 138, 746, 224.

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}.