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LCM of 668, 400, 858, 354

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


Find the LCM of 668, 400, 858, 354 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 668, 400, 858, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,400,858,354

Given numbers are 668,400,858,354

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

The LCM of 668,400,858,354 is 1690774800.

Find LCM of 668,400,858,354 with Prime Factorization


2 668, 400, 858, 354
2 334, 200, 429, 177
3 167, 100, 429, 177
167, 100, 143, 59

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

2 x 2 x 3 x 167 x 100 x 143 x 59 = 1690774800

Therefore, the lowest common multiple of 668,400,858,354 is 1690774800.

LCM Formula to Find Lowest Common Multiple of 668,400,858,354

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.

668 x 400 x 858 x 354 = 81157190400

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.

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

354 : 1, 2, 3, 6, 59, 118, 177, 354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,400,858,354, is 2.

Now, the common factors can be found like this.

668:2x 2x 167

400:2x 2x 2x 2x 5x 5

858:2x 3x 11x 13

354:2x 3x 59

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 3 = 24

Therefore, the value for common factors is 24.

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 = 81157190400/(2x24)

LCM = 81157190400/48

LCM = 1690774800

Thus, we can understand that the LCM of 668,400,858,354 is 1690774800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 400, 858, 354

1. What is the LCM of 668, 400, 858, 354?

Answer: LCM of 668, 400, 858, 354 is 1690774800.

2. How to calculate the LCM of 668, 400, 858, 354?

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 668, 400, 858, 354.

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}.