Given numbers are 840,225,618,160

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

The LCM of 840,225,618,160 is 5191200.

Find LCM of 840,225,618,160 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 15 x 103 x 4 = 5191200

Therefore, the lowest common multiple of 840,225,618,160 is 5191200.

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.

840 x 225 x 618 x 160 = 18688320000

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

618 : 1, 2, 3, 6, 103, 206, 309, 618

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,225,618,160, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

225:3x 3x 5x 5

618:2x 3x 103

160:2x 2x 2x 2x 2x 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 2x 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 18688320000/(1x3600)

LCM = 18688320000/3600

LCM = 5191200

Thus, we can understand that the LCM of 840,225,618,160 is 5191200.

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

• LCM of 373, 215, 343, 147
• LCM of 166, 880, 643, 747
• LCM of 193, 569, 801, 181
• LCM of 359, 268, 976, 494
• LCM of 665, 822, 450, 924

1. What is the LCM of 840, 225, 618, 160?

Answer: LCM of 840, 225, 618, 160 is 5191200.

2. How to calculate the LCM of 840, 225, 618, 160?

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 840, 225, 618, 160.

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}.