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LCM of 119, 904, 714

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


Find the LCM of 119, 904, 714 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 119, 904, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,904,714

Given numbers are 119,904,714

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

The LCM of 119,904,714 is 322728.

Find LCM of 119,904,714 with Prime Factorization


2 119, 904, 714
7 119, 452, 357
17 17, 452, 51
1, 452, 3

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

2 x 7 x 17 x 1 x 452 x 3 = 322728

Therefore, the lowest common multiple of 119,904,714 is 322728.

LCM Formula to Find Lowest Common Multiple of 119,904,714

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.

119 x 904 x 714 = 76809264

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.

119 : 1, 7, 17, 119

904 : 1, 2, 4, 8, 113, 226, 452, 904

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,904,714, is 1.

Now, the common factors can be found like this.

119:7x 17

904:2x 2x 2x 113

714:2x 3x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 17 = 238

Therefore, the value for common factors is 238.

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 = 76809264/(1x238)

LCM = 76809264/238

LCM = 322728

Thus, we can understand that the LCM of 119,904,714 is 322728.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 119, 904, 714

1. What is the LCM of 119, 904, 714?

Answer: LCM of 119, 904, 714 is 322728.

2. How to calculate the LCM of 119, 904, 714?

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 119, 904, 714.

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}.