Given numbers are 235,457,821,798,152

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

The LCM of 235,457,821,798,152 is 281442773640.

Find LCM of 235,457,821,798,152 with Prime Factorization

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

2 x 19 x 235 x 457 x 821 x 21 x 4 = 281442773640

Therefore, the lowest common multiple of 235,457,821,798,152 is 281442773640.

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.

235 x 457 x 821 x 798 x 152 = 10694825398320

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.

235 : 1, 5, 47, 235

457 : 1, 457

821 : 1, 821

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,457,821,798,152, is 1.

Now, the common factors can be found like this.

235:5x 47

457:457

821:821

798:2x 3x 7x 19

152:2x 2x 2x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 10694825398320/(1x38)

LCM = 10694825398320/38

LCM = 281442773640

Thus, we can understand that the LCM of 235,457,821,798,152 is 281442773640.

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

• LCM of 243, 677, 105, 623, 359
• LCM of 586, 384, 811, 399, 937
• LCM of 412, 816, 210, 402, 546
• LCM of 541, 789, 979, 746, 120
• LCM of 676, 380, 717, 270, 597

1. What is the LCM of 235, 457, 821, 798, 152?

Answer: LCM of 235, 457, 821, 798, 152 is 281442773640.

2. How to calculate the LCM of 235, 457, 821, 798, 152?

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 235, 457, 821, 798, 152.

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}.