Given numbers are 771,548,404,900,169

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

The LCM of 771,548,404,900,169 is 540884178900.

Find LCM of 771,548,404,900,169 with Prime Factorization

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

2 x 2 x 3 x 257 x 137 x 101 x 75 x 169 = 540884178900

Therefore, the lowest common multiple of 771,548,404,900,169 is 540884178900.

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.

771 x 548 x 404 x 900 x 169 = 25962440587200

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.

771 : 1, 3, 257, 771

548 : 1, 2, 4, 137, 274, 548

404 : 1, 2, 4, 101, 202, 404

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,548,404,900,169, is 1.

Now, the common factors can be found like this.

771:3x 257

548:2x 2x 137

404:2x 2x 101

900:2x 2x 3x 3x 5x 5

169:13x 13

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

2x 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 25962440587200/(1x48)

LCM = 25962440587200/48

LCM = 540884178900

Thus, we can understand that the LCM of 771,548,404,900,169 is 540884178900.

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

• LCM of 636, 948, 290, 527, 450
• LCM of 120, 578, 906, 685, 577
• LCM of 483, 143, 533, 554, 889
• LCM of 304, 373, 136, 825, 812
• LCM of 886, 889, 376, 158, 613

1. What is the LCM of 771, 548, 404, 900, 169?

Answer: LCM of 771, 548, 404, 900, 169 is 540884178900.

2. How to calculate the LCM of 771, 548, 404, 900, 169?

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 771, 548, 404, 900, 169.

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}.