Given numbers are 142,490,269,381

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

The LCM of 142,490,269,381 is 3565592310.

Find LCM of 142,490,269,381 with Prime Factorization

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

2 x 71 x 245 x 269 x 381 = 3565592310

Therefore, the lowest common multiple of 142,490,269,381 is 3565592310.

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.

142 x 490 x 269 x 381 = 7131184620

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.

142 : 1, 2, 71, 142

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

269 : 1, 269

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,490,269,381, is 1.

Now, the common factors can be found like this.

142:2x 71

490:2x 5x 7x 7

269:269

381:3x 127

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7131184620/(1x2)

LCM = 7131184620/2

LCM = 3565592310

Thus, we can understand that the LCM of 142,490,269,381 is 3565592310.

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

• LCM of 369, 550, 867, 941
• LCM of 416, 932, 307, 633
• LCM of 716, 579, 304, 901
• LCM of 535, 759, 168, 909
• LCM of 946, 560, 566, 666

1. What is the LCM of 142, 490, 269, 381?

Answer: LCM of 142, 490, 269, 381 is 3565592310.

2. How to calculate the LCM of 142, 490, 269, 381?

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 142, 490, 269, 381.

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}.