Given numbers are 714,251,338,469

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

The LCM of 714,251,338,469 is 2029240122.

Find LCM of 714,251,338,469 with Prime Factorization

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

2 x 7 x 51 x 251 x 169 x 67 = 2029240122

Therefore, the lowest common multiple of 714,251,338,469 is 2029240122.

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.

714 x 251 x 338 x 469 = 28409361708

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.

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

251 : 1, 251

338 : 1, 2, 13, 26, 169, 338

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,251,338,469, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

251:251

338:2x 13x 13

469:7x 67

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 28409361708/(1x14)

LCM = 28409361708/14

LCM = 2029240122

Thus, we can understand that the LCM of 714,251,338,469 is 2029240122.

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

• LCM of 514, 947, 346, 220
• LCM of 403, 598, 893, 848
• LCM of 145, 912, 144, 685
• LCM of 224, 787, 570, 585
• LCM of 976, 324, 759, 494

1. What is the LCM of 714, 251, 338, 469?

Answer: LCM of 714, 251, 338, 469 is 2029240122.

2. How to calculate the LCM of 714, 251, 338, 469?

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 714, 251, 338, 469.

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}.