Given numbers are 235,218,120,902

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

The LCM of 235,218,120,902 is 277256760.

Find LCM of 235,218,120,902 with Prime Factorization

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

2 x 5 x 47 x 109 x 12 x 451 = 277256760

Therefore, the lowest common multiple of 235,218,120,902 is 277256760.

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.

235 x 218 x 120 x 902 = 5545135200

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.

235 : 1, 5, 47, 235

218 : 1, 2, 109, 218

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,218,120,902, is 1.

Now, the common factors can be found like this.

235:5x 47

218:2x 109

120:2x 2x 2x 3x 5

902:2x 11x 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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 5545135200/(1x20)

LCM = 5545135200/20

LCM = 277256760

Thus, we can understand that the LCM of 235,218,120,902 is 277256760.

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

• LCM of 861, 616, 360, 959
• LCM of 577, 265, 451, 920
• LCM of 893, 590, 462, 656
• LCM of 512, 908, 647, 846
• LCM of 870, 863, 138, 200

1. What is the LCM of 235, 218, 120, 902?

Answer: LCM of 235, 218, 120, 902 is 277256760.

2. How to calculate the LCM of 235, 218, 120, 902?

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 235, 218, 120, 902.

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}.