Given numbers are 2714,1000

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

The LCM of 2714,1000 is 1357000.

Find LCM of 2714,1000 with Prime Factorization

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

2 x 1357 x 500 = 1357000

Therefore, the lowest common multiple of 2714,1000 is 1357000.

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.

2714 x 1000 = 2714000

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.

2714 : 1, 2, 23, 46, 59, 118, 1357, 2714

1000 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2714,1000, is 2.

Now, the common factors can be found like this.

2714:2x 23x 59

1000:2x 2x 2x 5x 5x 5

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

= 1

Therefore, the value for common factors is 1.

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 = 2714000/(2x1)

LCM = 2714000/2

LCM = 1357000

Thus, we can understand that the LCM of 2714,1000 is 1357000.

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

• LCM of 2278, 5749
• LCM of 8927, 8954
• LCM of 8991, 2525
• LCM of 6307, 9557
• LCM of 2381, 2010

1. What is the LCM of 2714, 1000?

Answer: LCM of 2714, 1000 is 1357000.

2. How to calculate the LCM of 2714, 1000?

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 2714, 1000.

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}.