Given numbers are 7,253,138,319

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

The LCM of 7,253,138,319 is 308154.

Find LCM of 7,253,138,319 with Prime Factorization

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

11 x 23 x 7 x 1 x 6 x 29 = 308154

Therefore, the lowest common multiple of 7,253,138,319 is 308154.

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.

7 x 253 x 138 x 319 = 77962962

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.

7 : 1, 7

253 : 1, 11, 23, 253

138 : 1, 2, 3, 6, 23, 46, 69, 138

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,253,138,319, is 1.

Now, the common factors can be found like this.

7:7

253:11x 23

138:2x 3x 23

319:11x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 23 = 253

Therefore, the value for common factors is 253.

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 = 77962962/(1x253)

LCM = 77962962/253

LCM = 308154

Thus, we can understand that the LCM of 7,253,138,319 is 308154.

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

• LCM of 1, 517, 721, 818
• LCM of 3, 763, 401, 808
• LCM of 9, 327, 201, 357
• LCM of 5, 828, 397, 684
• LCM of 7, 805, 979, 677

1. What is the LCM of 7, 253, 138, 319?

Answer: LCM of 7, 253, 138, 319 is 308154.

2. How to calculate the LCM of 7, 253, 138, 319?

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 7, 253, 138, 319.

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}.