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LCM of 143, 668, 908, 452, 684

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


Find the LCM of 143, 668, 908, 452, 684 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 143, 668, 908, 452, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,668,908,452,684

Given numbers are 143,668,908,452,684

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

The LCM of 143,668,908,452,684 is 418998927204.

Find LCM of 143,668,908,452,684 with Prime Factorization


2 143, 668, 908, 452, 684
2 143, 334, 454, 226, 342
143, 167, 227, 113, 171

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

2 x 2 x 143 x 167 x 227 x 113 x 171 = 418998927204

Therefore, the lowest common multiple of 143,668,908,452,684 is 418998927204.

LCM Formula to Find Lowest Common Multiple of 143,668,908,452,684

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.

143 x 668 x 908 x 452 x 684 = 26815931341056

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.

143 : 1, 11, 13, 143

668 : 1, 2, 4, 167, 334, 668

908 : 1, 2, 4, 227, 454, 908

452 : 1, 2, 4, 113, 226, 452

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,668,908,452,684, is 1.

Now, the common factors can be found like this.

143:11x 13

668:2x 2x 167

908:2x 2x 227

452:2x 2x 113

684:2x 2x 3x 3x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 26815931341056/(1x64)

LCM = 26815931341056/64

LCM = 418998927204

Thus, we can understand that the LCM of 143,668,908,452,684 is 418998927204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 668, 908, 452, 684

1. What is the LCM of 143, 668, 908, 452, 684?

Answer: LCM of 143, 668, 908, 452, 684 is 418998927204.

2. How to calculate the LCM of 143, 668, 908, 452, 684?

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 143, 668, 908, 452, 684.

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}.