Given numbers are 461,738,121,258

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

The LCM of 461,738,121,258 is 1770154254.

Find LCM of 461,738,121,258 with Prime Factorization

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

2 x 3 x 461 x 123 x 121 x 43 = 1770154254

Therefore, the lowest common multiple of 461,738,121,258 is 1770154254.

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.

461 x 738 x 121 x 258 = 10620925524

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.

461 : 1, 461

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

121 : 1, 11, 121

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,738,121,258, is 1.

Now, the common factors can be found like this.

461:461

738:2x 3x 3x 41

121:11x 11

258:2x 3x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10620925524/(1x6)

LCM = 10620925524/6

LCM = 1770154254

Thus, we can understand that the LCM of 461,738,121,258 is 1770154254.

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

• LCM of 869, 140, 683, 176
• LCM of 620, 781, 820, 246
• LCM of 874, 940, 911, 741
• LCM of 947, 263, 258, 864
• LCM of 166, 867, 898, 366

1. What is the LCM of 461, 738, 121, 258?

Answer: LCM of 461, 738, 121, 258 is 1770154254.

2. How to calculate the LCM of 461, 738, 121, 258?

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 461, 738, 121, 258.

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}.