Given numbers are 906,138,309,278

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

The LCM of 906,138,309,278 is 298337646.

Find LCM of 906,138,309,278 with Prime Factorization

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

2 x 3 x 151 x 23 x 103 x 139 = 298337646

Therefore, the lowest common multiple of 906,138,309,278 is 298337646.

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.

906 x 138 x 309 x 278 = 10740155256

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

138 : 1, 2, 3, 6, 23, 46, 69, 138

309 : 1, 3, 103, 309

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,138,309,278, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

138:2x 3x 23

309:3x 103

278:2x 139

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 10740155256/(1x36)

LCM = 10740155256/36

LCM = 298337646

Thus, we can understand that the LCM of 906,138,309,278 is 298337646.

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

• LCM of 129, 394, 817, 972
• LCM of 687, 434, 401, 856
• LCM of 899, 277, 324, 649
• LCM of 671, 109, 253, 499
• LCM of 181, 770, 137, 390

1. What is the LCM of 906, 138, 309, 278?

Answer: LCM of 906, 138, 309, 278 is 298337646.

2. How to calculate the LCM of 906, 138, 309, 278?

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 906, 138, 309, 278.

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}.