Given numbers are 676,390,975,615,299

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

The LCM of 676,390,975,615,299 is 47810100.

Find LCM of 676,390,975,615,299 with Prime Factorization

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

2 x 3 x 5 x 13 x 26 x 1 x 5 x 41 x 23 = 47810100

Therefore, the lowest common multiple of 676,390,975,615,299 is 47810100.

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.

676 x 390 x 975 x 615 x 299 = 47267455365000

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

615 : 1, 3, 5, 15, 41, 123, 205, 615

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,390,975,615,299, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

390:2x 3x 5x 13

975:3x 5x 5x 13

615:3x 5x 41

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.

2x 3x 3x 5x 5x 13x 13x 13 = 988650

Therefore, the value for common factors is 988650.

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 = 47267455365000/(1x988650)

LCM = 47267455365000/988650

LCM = 47810100

Thus, we can understand that the LCM of 676,390,975,615,299 is 47810100.

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

• LCM of 869, 279, 370, 727, 380
• LCM of 703, 781, 264, 570, 934
• LCM of 479, 503, 488, 519, 972
• LCM of 470, 733, 103, 657, 731
• LCM of 754, 756, 709, 895, 343

1. What is the LCM of 676, 390, 975, 615, 299?

Answer: LCM of 676, 390, 975, 615, 299 is 47810100.

2. How to calculate the LCM of 676, 390, 975, 615, 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 676, 390, 975, 615, 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}.