Given numbers are 761,100,714

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

The LCM of 761,100,714 is 27167700.

Find LCM of 761,100,714 with Prime Factorization

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

2 x 761 x 50 x 357 = 27167700

Therefore, the lowest common multiple of 761,100,714 is 27167700.

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.

761 x 100 x 714 = 54335400

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.

761 : 1, 761

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,100,714, is 1.

Now, the common factors can be found like this.

761:761

100:2x 2x 5x 5

714:2x 3x 7x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 54335400/(1x2)

LCM = 54335400/2

LCM = 27167700

Thus, we can understand that the LCM of 761,100,714 is 27167700.

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

• LCM of 975, 182, 500
• LCM of 902, 825, 304
• LCM of 913, 405, 567
• LCM of 404, 411, 716
• LCM of 179, 151, 116

1. What is the LCM of 761, 100, 714?

Answer: LCM of 761, 100, 714 is 27167700.

2. How to calculate the LCM of 761, 100, 714?

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 761, 100, 714.

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}.