Given numbers are 840,456,230,724,106

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

The LCM of 840,456,230,724,106 is 3521398440.

Find LCM of 840,456,230,724,106 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 19 x 23 x 181 x 53 = 3521398440

Therefore, the lowest common multiple of 840,456,230,724,106 is 3521398440.

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 456 x 230 x 724 x 106 = 6761085004800

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

230 : 1, 2, 5, 10, 23, 46, 115, 230

724 : 1, 2, 4, 181, 362, 724

106 : 1, 2, 53, 106

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,456,230,724,106, is 2.

Now, the common factors can be found like this.

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

456:2x 2x 2x 3x 19

230:2x 5x 23

724:2x 2x 181

106:2x 53

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 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 6761085004800/(2x960)

LCM = 6761085004800/1920

LCM = 3521398440

Thus, we can understand that the LCM of 840,456,230,724,106 is 3521398440.

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

• LCM of 580, 991, 768, 197, 998
• LCM of 383, 162, 468, 187, 747
• LCM of 892, 916, 854, 759, 538
• LCM of 848, 727, 994, 282, 568
• LCM of 545, 106, 644, 429, 212

1. What is the LCM of 840, 456, 230, 724, 106?

Answer: LCM of 840, 456, 230, 724, 106 is 3521398440.

2. How to calculate the LCM of 840, 456, 230, 724, 106?

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, 456, 230, 724, 106.

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}.