Given numbers are 821,254,268,120

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

The LCM of 821,254,268,120 is 838306680.

Find LCM of 821,254,268,120 with Prime Factorization

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

2 x 2 x 821 x 127 x 67 x 30 = 838306680

Therefore, the lowest common multiple of 821,254,268,120 is 838306680.

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 254 x 268 x 120 = 6706453440

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

254 : 1, 2, 127, 254

268 : 1, 2, 4, 67, 134, 268

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,254,268,120, is 1.

Now, the common factors can be found like this.

821:821

254:2x 127

268:2x 2x 67

120:2x 2x 2x 3x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6706453440/(1x8)

LCM = 6706453440/8

LCM = 838306680

Thus, we can understand that the LCM of 821,254,268,120 is 838306680.

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

• LCM of 743, 584, 150, 827
• LCM of 509, 168, 467, 641
• LCM of 407, 483, 203, 855
• LCM of 980, 491, 688, 398
• LCM of 639, 866, 528, 337

1. What is the LCM of 821, 254, 268, 120?

Answer: LCM of 821, 254, 268, 120 is 838306680.

2. How to calculate the LCM of 821, 254, 268, 120?

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, 254, 268, 120.

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}.