Given numbers are 471,976,228,816

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

The LCM of 471,976,228,816 is 148481808.

Find LCM of 471,976,228,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 157 x 61 x 19 x 17 = 148481808

Therefore, the lowest common multiple of 471,976,228,816 is 148481808.

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.

471 x 976 x 228 x 816 = 85525521408

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.

471 : 1, 3, 157, 471

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,976,228,816, is 1.

Now, the common factors can be found like this.

471:3x 157

976:2x 2x 2x 2x 61

228:2x 2x 3x 19

816:2x 2x 2x 2x 3x 17

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 3 = 576

Therefore, the value for common factors is 576.

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 = 85525521408/(1x576)

LCM = 85525521408/576

LCM = 148481808

Thus, we can understand that the LCM of 471,976,228,816 is 148481808.

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

• LCM of 446, 928, 456, 321
• LCM of 756, 608, 938, 830
• LCM of 497, 949, 872, 560
• LCM of 318, 318, 392, 900
• LCM of 985, 192, 983, 387

1. What is the LCM of 471, 976, 228, 816?

Answer: LCM of 471, 976, 228, 816 is 148481808.

2. How to calculate the LCM of 471, 976, 228, 816?

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 471, 976, 228, 816.

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}.