Given numbers are 119,224,219,299

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

The LCM of 119,224,219,299 is 249351648.

Find LCM of 119,224,219,299 with Prime Factorization

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

7 x 17 x 32 x 219 x 299 = 249351648

Therefore, the lowest common multiple of 119,224,219,299 is 249351648.

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.

119 x 224 x 219 x 299 = 1745461536

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.

119 : 1, 7, 17, 119

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

219 : 1, 3, 73, 219

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,224,219,299, is 1.

Now, the common factors can be found like this.

119:7x 17

224:2x 2x 2x 2x 2x 7

219:3x 73

299:13x 23

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

7 = 7

Therefore, the value for common factors is 7.

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 = 1745461536/(1x7)

LCM = 1745461536/7

LCM = 249351648

Thus, we can understand that the LCM of 119,224,219,299 is 249351648.

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

• LCM of 711, 500, 165, 179
• LCM of 527, 732, 174, 393
• LCM of 484, 923, 640, 295
• LCM of 223, 164, 581, 496
• LCM of 823, 720, 753, 522

1. What is the LCM of 119, 224, 219, 299?

Answer: LCM of 119, 224, 219, 299 is 249351648.

2. How to calculate the LCM of 119, 224, 219, 299?

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 119, 224, 219, 299.

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}.