Given numbers are 414,194,177,428,118

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

The LCM of 414,194,177,428,118 is 507034908.

Find LCM of 414,194,177,428,118 with Prime Factorization

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

2 x 3 x 59 x 69 x 97 x 1 x 214 x 1 = 507034908

Therefore, the lowest common multiple of 414,194,177,428,118 is 507034908.

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.

414 x 194 x 177 x 428 x 118 = 717961429728

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

194 : 1, 2, 97, 194

177 : 1, 3, 59, 177

428 : 1, 2, 4, 107, 214, 428

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,194,177,428,118, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

194:2x 97

177:3x 59

428:2x 2x 107

118:2x 59

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 3x 59 = 1416

Therefore, the value for common factors is 1416.

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 = 717961429728/(1x1416)

LCM = 717961429728/1416

LCM = 507034908

Thus, we can understand that the LCM of 414,194,177,428,118 is 507034908.

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

• LCM of 177, 131, 211, 863, 399
• LCM of 513, 971, 130, 814, 105
• LCM of 156, 995, 456, 425, 863
• LCM of 167, 971, 960, 100, 887
• LCM of 109, 370, 942, 832, 260

1. What is the LCM of 414, 194, 177, 428, 118?

Answer: LCM of 414, 194, 177, 428, 118 is 507034908.

2. How to calculate the LCM of 414, 194, 177, 428, 118?

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 414, 194, 177, 428, 118.

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}.