Given numbers are 507,397,169,78

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

The LCM of 507,397,169,78 is 402558.

Find LCM of 507,397,169,78 with Prime Factorization

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

3 x 13 x 13 x 1 x 397 x 1 x 2 = 402558

Therefore, the lowest common multiple of 507,397,169,78 is 402558.

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.

507 x 397 x 169 x 78 = 2653259778

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.

507 : 1, 3, 13, 39, 169, 507

397 : 1, 397

169 : 1, 13, 169

78 : 1, 2, 3, 6, 13, 26, 39, 78

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,397,169,78, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

397:397

169:13x 13

78:2x 3x 13

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

3x 13x 13x 13 = 6591

Therefore, the value for common factors is 6591.

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 = 2653259778/(1x6591)

LCM = 2653259778/6591

LCM = 402558

Thus, we can understand that the LCM of 507,397,169,78 is 402558.

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

• LCM of 270, 915, 611, 33
• LCM of 590, 425, 350, 76
• LCM of 976, 774, 532, 10
• LCM of 599, 873, 465, 26
• LCM of 479, 953, 740, 16

1. What is the LCM of 507, 397, 169, 78?

Answer: LCM of 507, 397, 169, 78 is 402558.

2. How to calculate the LCM of 507, 397, 169, 78?

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 507, 397, 169, 78.

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}.