Given numbers are 821,504,460,679

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

The LCM of 821,504,460,679 is 4615760520.

Find LCM of 821,504,460,679 with Prime Factorization

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

2 x 2 x 7 x 821 x 18 x 115 x 97 = 4615760520

Therefore, the lowest common multiple of 821,504,460,679 is 4615760520.

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.

821 x 504 x 460 x 679 = 129241294560

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.

821 : 1, 821

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,504,460,679, is 1.

Now, the common factors can be found like this.

821:821

504:2x 2x 2x 3x 3x 7

460:2x 2x 5x 23

679:7x 97

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 7 = 28

Therefore, the value for common factors is 28.

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 = 129241294560/(1x28)

LCM = 129241294560/28

LCM = 4615760520

Thus, we can understand that the LCM of 821,504,460,679 is 4615760520.

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

• LCM of 126, 124, 823, 920
• LCM of 334, 563, 884, 679
• LCM of 826, 449, 941, 823
• LCM of 861, 893, 892, 815
• LCM of 642, 863, 928, 214

1. What is the LCM of 821, 504, 460, 679?

Answer: LCM of 821, 504, 460, 679 is 4615760520.

2. How to calculate the LCM of 821, 504, 460, 679?

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 821, 504, 460, 679.

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}.