Given numbers are 688,224,133,587

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

The LCM of 688,224,133,587 is 107425696.

Find LCM of 688,224,133,587 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 43 x 2 x 19 x 587 = 107425696

Therefore, the lowest common multiple of 688,224,133,587 is 107425696.

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.

688 x 224 x 133 x 587 = 12031677952

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

133 : 1, 7, 19, 133

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,224,133,587, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

224:2x 2x 2x 2x 2x 7

133:7x 19

587:587

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 7 = 112

Therefore, the value for common factors is 112.

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 = 12031677952/(1x112)

LCM = 12031677952/112

LCM = 107425696

Thus, we can understand that the LCM of 688,224,133,587 is 107425696.

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

• LCM of 673, 205, 981, 124
• LCM of 568, 653, 205, 565
• LCM of 372, 761, 667, 992
• LCM of 730, 433, 485, 384
• LCM of 687, 117, 392, 935

1. What is the LCM of 688, 224, 133, 587?

Answer: LCM of 688, 224, 133, 587 is 107425696.

2. How to calculate the LCM of 688, 224, 133, 587?

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 688, 224, 133, 587.

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}.