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LCM of 858, 984, 714, 919

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


Find the LCM of 858, 984, 714, 919 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 858, 984, 714, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,984,714,919

Given numbers are 858,984,714,919

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

The LCM of 858,984,714,919 is 15388405032.

Find LCM of 858,984,714,919 with Prime Factorization


2 858, 984, 714, 919
3 429, 492, 357, 919
143, 164, 119, 919

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

2 x 3 x 143 x 164 x 119 x 919 = 15388405032

Therefore, the lowest common multiple of 858,984,714,919 is 15388405032.

LCM Formula to Find Lowest Common Multiple of 858,984,714,919

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.

858 x 984 x 714 x 919 = 553982581152

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.

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,984,714,919, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

984:2x 2x 2x 3x 41

714:2x 3x 7x 17

919:919

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 553982581152/(1x36)

LCM = 553982581152/36

LCM = 15388405032

Thus, we can understand that the LCM of 858,984,714,919 is 15388405032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 984, 714, 919

1. What is the LCM of 858, 984, 714, 919?

Answer: LCM of 858, 984, 714, 919 is 15388405032.

2. How to calculate the LCM of 858, 984, 714, 919?

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 858, 984, 714, 919.

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}.