Given numbers are 361,152,316,135,674

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

The LCM of 361,152,316,135,674 is 10379775240.

Find LCM of 361,152,316,135,674 with Prime Factorization

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

2 x 2 x 19 x 19 x 2 x 79 x 135 x 337 = 10379775240

Therefore, the lowest common multiple of 361,152,316,135,674 is 10379775240.

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.

361 x 152 x 316 x 135 x 674 = 1577725836480

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.

361 : 1, 19, 361

152 : 1, 2, 4, 8, 19, 38, 76, 152

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,152,316,135,674, is 1.

Now, the common factors can be found like this.

361:19x 19

152:2x 2x 2x 19

316:2x 2x 79

135:3x 3x 3x 5

674:2x 337

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 19 = 152

Therefore, the value for common factors is 152.

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 = 1577725836480/(1x152)

LCM = 1577725836480/152

LCM = 10379775240

Thus, we can understand that the LCM of 361,152,316,135,674 is 10379775240.

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

• LCM of 392, 263, 109, 592, 301
• LCM of 847, 172, 250, 949, 581
• LCM of 538, 415, 405, 929, 210
• LCM of 586, 174, 300, 687, 963
• LCM of 287, 847, 541, 428, 186

1. What is the LCM of 361, 152, 316, 135, 674?

Answer: LCM of 361, 152, 316, 135, 674 is 10379775240.

2. How to calculate the LCM of 361, 152, 316, 135, 674?

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 361, 152, 316, 135, 674.

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}.