Given numbers are 945,182,169,514

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

The LCM of 945,182,169,514 is 82088370.

Find LCM of 945,182,169,514 with Prime Factorization

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

2 x 7 x 13 x 135 x 1 x 13 x 257 = 82088370

Therefore, the lowest common multiple of 945,182,169,514 is 82088370.

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.

945 x 182 x 169 x 514 = 14940083340

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

182 : 1, 2, 7, 13, 14, 26, 91, 182

169 : 1, 13, 169

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,182,169,514, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

182:2x 7x 13

169:13x 13

514:2x 257

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

2x 7x 13 = 182

Therefore, the value for common factors is 182.

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 = 14940083340/(1x182)

LCM = 14940083340/182

LCM = 82088370

Thus, we can understand that the LCM of 945,182,169,514 is 82088370.

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

• LCM of 872, 834, 891, 914
• LCM of 767, 333, 535, 685
• LCM of 280, 338, 118, 930
• LCM of 741, 339, 991, 108
• LCM of 807, 797, 105, 606

1. What is the LCM of 945, 182, 169, 514?

Answer: LCM of 945, 182, 169, 514 is 82088370.

2. How to calculate the LCM of 945, 182, 169, 514?

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 945, 182, 169, 514.

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}.