Given numbers are 735,415,883,146,104

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

The LCM of 735,415,883,146,104 is 408961414680.

Find LCM of 735,415,883,146,104 with Prime Factorization

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

2 x 5 x 147 x 83 x 883 x 73 x 52 = 408961414680

Therefore, the lowest common multiple of 735,415,883,146,104 is 408961414680.

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.

735 x 415 x 883 x 146 x 104 = 4089614146800

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

415 : 1, 5, 83, 415

883 : 1, 883

146 : 1, 2, 73, 146

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,415,883,146,104, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

415:5x 83

883:883

146:2x 73

104:2x 2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 4089614146800/(1x10)

LCM = 4089614146800/10

LCM = 408961414680

Thus, we can understand that the LCM of 735,415,883,146,104 is 408961414680.

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

• LCM of 142, 937, 735, 675, 799
• LCM of 833, 264, 772, 204, 793
• LCM of 799, 763, 972, 387, 967
• LCM of 667, 956, 329, 216, 792
• LCM of 674, 892, 861, 223, 983

1. What is the LCM of 735, 415, 883, 146, 104?

Answer: LCM of 735, 415, 883, 146, 104 is 408961414680.

2. How to calculate the LCM of 735, 415, 883, 146, 104?

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 735, 415, 883, 146, 104.

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}.