Given numbers are 277,316,178,360,346

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

The LCM of 277,316,178,360,346 is 121295718360.

Find LCM of 277,316,178,360,346 with Prime Factorization

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

2 x 2 x 277 x 79 x 89 x 90 x 173 = 121295718360

Therefore, the lowest common multiple of 277,316,178,360,346 is 121295718360.

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.

277 x 316 x 178 x 360 x 346 = 1940731493760

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.

277 : 1, 277

316 : 1, 2, 4, 79, 158, 316

178 : 1, 2, 89, 178

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,316,178,360,346, is 1.

Now, the common factors can be found like this.

277:277

316:2x 2x 79

178:2x 89

360:2x 2x 2x 3x 3x 5

346:2x 173

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1940731493760/(1x16)

LCM = 1940731493760/16

LCM = 121295718360

Thus, we can understand that the LCM of 277,316,178,360,346 is 121295718360.

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

• LCM of 869, 732, 587, 564, 395
• LCM of 860, 481, 491, 850, 324
• LCM of 256, 594, 685, 508, 793
• LCM of 172, 472, 940, 407, 263
• LCM of 607, 375, 120, 618, 787

1. What is the LCM of 277, 316, 178, 360, 346?

Answer: LCM of 277, 316, 178, 360, 346 is 121295718360.

2. How to calculate the LCM of 277, 316, 178, 360, 346?

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 277, 316, 178, 360, 346.

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}.