Given numbers are 224,688,766,838,804

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

The LCM of 224,688,766,838,804 is 310688607264.

Find LCM of 224,688,766,838,804 with Prime Factorization

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

2 x 2 x 2 x 2 x 14 x 43 x 383 x 419 x 201 = 310688607264

Therefore, the lowest common multiple of 224,688,766,838,804 is 310688607264.

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.

224 x 688 x 766 x 838 x 804 = 79536283459584

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.

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

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

766 : 1, 2, 383, 766

838 : 1, 2, 419, 838

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,688,766,838,804, is 2.

Now, the common factors can be found like this.

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

688:2x 2x 2x 2x 43

766:2x 383

838:2x 419

804:2x 2x 3x 67

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 2 = 128

Therefore, the value for common factors is 128.

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 = 79536283459584/(2x128)

LCM = 79536283459584/256

LCM = 310688607264

Thus, we can understand that the LCM of 224,688,766,838,804 is 310688607264.

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

• LCM of 785, 789, 468, 278, 126
• LCM of 500, 403, 788, 956, 385
• LCM of 710, 626, 117, 735, 977
• LCM of 303, 845, 465, 607, 947
• LCM of 124, 500, 931, 676, 267

1. What is the LCM of 224, 688, 766, 838, 804?

Answer: LCM of 224, 688, 766, 838, 804 is 310688607264.

2. How to calculate the LCM of 224, 688, 766, 838, 804?

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 224, 688, 766, 838, 804.

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}.