Given numbers are 771,278,144,840

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

The LCM of 771,278,144,840 is 180043920.

Find LCM of 771,278,144,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 257 x 139 x 6 x 35 = 180043920

Therefore, the lowest common multiple of 771,278,144,840 is 180043920.

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 278 x 144 x 840 = 25926324480

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

278 : 1, 2, 139, 278

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,278,144,840, is 1.

Now, the common factors can be found like this.

771:3x 257

278:2x 139

144:2x 2x 2x 2x 3x 3

840:2x 2x 2x 3x 5x 7

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 25926324480/(1x144)

LCM = 25926324480/144

LCM = 180043920

Thus, we can understand that the LCM of 771,278,144,840 is 180043920.

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

• LCM of 955, 214, 261, 191
• LCM of 710, 711, 190, 615
• LCM of 234, 534, 827, 551
• LCM of 129, 631, 764, 836
• LCM of 573, 131, 647, 594

1. What is the LCM of 771, 278, 144, 840?

Answer: LCM of 771, 278, 144, 840 is 180043920.

2. How to calculate the LCM of 771, 278, 144, 840?

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, 278, 144, 840.

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}.