Given numbers are 469,749,208,258

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

The LCM of 469,749,208,258 is 1346510256.

Find LCM of 469,749,208,258 with Prime Factorization

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

2 x 7 x 67 x 107 x 104 x 129 = 1346510256

Therefore, the lowest common multiple of 469,749,208,258 is 1346510256.

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.

469 x 749 x 208 x 258 = 18851143584

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.

469 : 1, 7, 67, 469

749 : 1, 7, 107, 749

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 469,749,208,258, is 1.

Now, the common factors can be found like this.

469:7x 67

749:7x 107

208:2x 2x 2x 2x 13

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 7 = 14

Therefore, the value for common factors is 14.

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 = 18851143584/(1x14)

LCM = 18851143584/14

LCM = 1346510256

Thus, we can understand that the LCM of 469,749,208,258 is 1346510256.

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

• LCM of 237, 960, 966, 950
• LCM of 677, 101, 614, 395
• LCM of 941, 958, 942, 806
• LCM of 846, 242, 958, 424
• LCM of 539, 224, 978, 956

1. What is the LCM of 469, 749, 208, 258?

Answer: LCM of 469, 749, 208, 258 is 1346510256.

2. How to calculate the LCM of 469, 749, 208, 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 469, 749, 208, 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}.