Given numbers are 861,121,338,164

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

The LCM of 861,121,338,164 is 70426356.

Find LCM of 861,121,338,164 with Prime Factorization

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

2 x 41 x 21 x 121 x 169 x 2 = 70426356

Therefore, the lowest common multiple of 861,121,338,164 is 70426356.

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.

861 x 121 x 338 x 164 = 5774961192

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

121 : 1, 11, 121

338 : 1, 2, 13, 26, 169, 338

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,121,338,164, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

121:11x 11

338:2x 13x 13

164:2x 2x 41

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 5774961192/(1x82)

LCM = 5774961192/82

LCM = 70426356

Thus, we can understand that the LCM of 861,121,338,164 is 70426356.

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

• LCM of 955, 865, 209, 407
• LCM of 456, 306, 991, 682
• LCM of 432, 648, 314, 215
• LCM of 742, 143, 236, 630
• LCM of 648, 159, 353, 891

1. What is the LCM of 861, 121, 338, 164?

Answer: LCM of 861, 121, 338, 164 is 70426356.

2. How to calculate the LCM of 861, 121, 338, 164?

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 861, 121, 338, 164.

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}.