Given numbers are 234,214,466,749

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

The LCM of 234,214,466,749 is 40836978.

Find LCM of 234,214,466,749 with Prime Factorization

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

2 x 107 x 117 x 1 x 233 x 7 = 40836978

Therefore, the lowest common multiple of 234,214,466,749 is 40836978.

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.

234 x 214 x 466 x 749 = 17478226584

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

214 : 1, 2, 107, 214

466 : 1, 2, 233, 466

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,214,466,749, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

214:2x 107

466:2x 233

749:7x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 17478226584/(1x428)

LCM = 17478226584/428

LCM = 40836978

Thus, we can understand that the LCM of 234,214,466,749 is 40836978.

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

• LCM of 695, 280, 590, 166
• LCM of 887, 955, 228, 347
• LCM of 847, 482, 910, 927
• LCM of 231, 364, 521, 856
• LCM of 311, 474, 701, 489

1. What is the LCM of 234, 214, 466, 749?

Answer: LCM of 234, 214, 466, 749 is 40836978.

2. How to calculate the LCM of 234, 214, 466, 749?

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 234, 214, 466, 749.

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}.