Given numbers are 871,319,224,988,624

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

The LCM of 871,319,224,988,624 is 3547576032.

Find LCM of 871,319,224,988,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 67 x 319 x 14 x 19 x 3 = 3547576032

Therefore, the lowest common multiple of 871,319,224,988,624 is 3547576032.

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.

871 x 319 x 224 x 988 x 624 = 38370582362112

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.

871 : 1, 13, 67, 871

319 : 1, 11, 29, 319

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,319,224,988,624, is 1.

Now, the common factors can be found like this.

871:13x 67

319:11x 29

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

988:2x 2x 13x 19

624:2x 2x 2x 2x 3x 13

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 2x 2x 13x 13 = 10816

Therefore, the value for common factors is 10816.

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 = 38370582362112/(1x10816)

LCM = 38370582362112/10816

LCM = 3547576032

Thus, we can understand that the LCM of 871,319,224,988,624 is 3547576032.

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

• LCM of 160, 891, 926, 336, 469
• LCM of 210, 640, 768, 894, 250
• LCM of 469, 186, 310, 840, 513
• LCM of 689, 519, 914, 417, 870
• LCM of 328, 344, 933, 265, 757

1. What is the LCM of 871, 319, 224, 988, 624?

Answer: LCM of 871, 319, 224, 988, 624 is 3547576032.

2. How to calculate the LCM of 871, 319, 224, 988, 624?

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 871, 319, 224, 988, 624.

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}.