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LCM of 339, 840, 988, 748

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


Find the LCM of 339, 840, 988, 748 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 339, 840, 988, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,840,988,748

Given numbers are 339,840,988,748

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

The LCM of 339,840,988,748 is 4384259880.

Find LCM of 339,840,988,748 with Prime Factorization


2 339, 840, 988, 748
2 339, 420, 494, 374
3 339, 210, 247, 187
113, 70, 247, 187

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

2 x 2 x 3 x 113 x 70 x 247 x 187 = 4384259880

Therefore, the lowest common multiple of 339,840,988,748 is 4384259880.

LCM Formula to Find Lowest Common Multiple of 339,840,988,748

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.

339 x 840 x 988 x 748 = 210444474240

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.

339 : 1, 3, 113, 339

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,840,988,748, is 1.

Now, the common factors can be found like this.

339:3x 113

840:2x 2x 2x 3x 5x 7

988:2x 2x 13x 19

748:2x 2x 11x 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 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 210444474240/(1x48)

LCM = 210444474240/48

LCM = 4384259880

Thus, we can understand that the LCM of 339,840,988,748 is 4384259880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 840, 988, 748

1. What is the LCM of 339, 840, 988, 748?

Answer: LCM of 339, 840, 988, 748 is 4384259880.

2. How to calculate the LCM of 339, 840, 988, 748?

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 339, 840, 988, 748.

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}.