Given numbers are 234,156,214,690

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

The LCM of 234,156,214,690 is 5758740.

Find LCM of 234,156,214,690 with Prime Factorization

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

2 x 3 x 13 x 3 x 2 x 107 x 115 = 5758740

Therefore, the lowest common multiple of 234,156,214,690 is 5758740.

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 156 x 214 x 690 = 5390180640

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

214 : 1, 2, 107, 214

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,156,214,690, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

156:2x 2x 3x 13

214:2x 107

690:2x 3x 5x 23

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 5390180640/(2x468)

LCM = 5390180640/936

LCM = 5758740

Thus, we can understand that the LCM of 234,156,214,690 is 5758740.

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

• LCM of 224, 526, 671, 863
• LCM of 888, 356, 421, 358
• LCM of 184, 561, 490, 864
• LCM of 219, 902, 369, 978
• LCM of 852, 815, 105, 175

1. What is the LCM of 234, 156, 214, 690?

Answer: LCM of 234, 156, 214, 690 is 5758740.

2. How to calculate the LCM of 234, 156, 214, 690?

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, 156, 214, 690.

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}.