Given numbers are 614,112,214,147

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

The LCM of 614,112,214,147 is 77260848.

Find LCM of 614,112,214,147 with Prime Factorization

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

2 x 7 x 307 x 8 x 107 x 21 = 77260848

Therefore, the lowest common multiple of 614,112,214,147 is 77260848.

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.

614 x 112 x 214 x 147 = 2163303744

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.

614 : 1, 2, 307, 614

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

214 : 1, 2, 107, 214

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,112,214,147, is 1.

Now, the common factors can be found like this.

614:2x 307

112:2x 2x 2x 2x 7

214:2x 107

147:3x 7x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 2163303744/(1x28)

LCM = 2163303744/28

LCM = 77260848

Thus, we can understand that the LCM of 614,112,214,147 is 77260848.

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

• LCM of 932, 962, 360, 184
• LCM of 525, 509, 188, 297
• LCM of 901, 796, 774, 841
• LCM of 617, 701, 955, 359
• LCM of 711, 349, 262, 471

1. What is the LCM of 614, 112, 214, 147?

Answer: LCM of 614, 112, 214, 147 is 77260848.

2. How to calculate the LCM of 614, 112, 214, 147?

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 614, 112, 214, 147.

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}.