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LCM of 268, 888, 168, 480, 121

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 268, 888, 168, 480, 121 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 268, 888, 168, 480, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,888,168,480,121

Given numbers are 268,888,168,480,121

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

The LCM of 268,888,168,480,121 is 1007862240.

Find LCM of 268,888,168,480,121 with Prime Factorization


2 268, 888, 168, 480, 121
2 134, 444, 84, 240, 121
2 67, 222, 42, 120, 121
3 67, 111, 21, 60, 121
67, 37, 7, 20, 121

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

2 x 2 x 2 x 3 x 67 x 37 x 7 x 20 x 121 = 1007862240

Therefore, the lowest common multiple of 268,888,168,480,121 is 1007862240.

LCM Formula to Find Lowest Common Multiple of 268,888,168,480,121

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.

268 x 888 x 168 x 480 x 121 = 2322114600960

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.

268 : 1, 2, 4, 67, 134, 268

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,888,168,480,121, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

888:2x 2x 2x 3x 37

168:2x 2x 2x 3x 7

480:2x 2x 2x 2x 2x 3x 5

121:11x 11

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 2x 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 2322114600960/(1x2304)

LCM = 2322114600960/2304

LCM = 1007862240

Thus, we can understand that the LCM of 268,888,168,480,121 is 1007862240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 888, 168, 480, 121

1. What is the LCM of 268, 888, 168, 480, 121?

Answer: LCM of 268, 888, 168, 480, 121 is 1007862240.

2. How to calculate the LCM of 268, 888, 168, 480, 121?

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 268, 888, 168, 480, 121.

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}.