Given numbers are 677,224,407,452

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

The LCM of 677,224,407,452 is 6974443168.

Find LCM of 677,224,407,452 with Prime Factorization

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

2 x 2 x 677 x 56 x 407 x 113 = 6974443168

Therefore, the lowest common multiple of 677,224,407,452 is 6974443168.

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.

677 x 224 x 407 x 452 = 27897772672

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.

677 : 1, 677

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

407 : 1, 11, 37, 407

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,224,407,452, is 1.

Now, the common factors can be found like this.

677:677

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

407:11x 37

452:2x 2x 113

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 = 27897772672/(1x4)

LCM = 27897772672/4

LCM = 6974443168

Thus, we can understand that the LCM of 677,224,407,452 is 6974443168.

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

• LCM of 503, 484, 188, 812
• LCM of 777, 448, 755, 870
• LCM of 443, 712, 280, 888
• LCM of 725, 991, 808, 759
• LCM of 170, 608, 425, 499

1. What is the LCM of 677, 224, 407, 452?

Answer: LCM of 677, 224, 407, 452 is 6974443168.

2. How to calculate the LCM of 677, 224, 407, 452?

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 677, 224, 407, 452.

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}.