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LCM of 714, 930, 312, 498

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


Find the LCM of 714, 930, 312, 498 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 714, 930, 312, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,930,312,498

Given numbers are 714,930,312,498

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

The LCM of 714,930,312,498 is 477651720.

Find LCM of 714,930,312,498 with Prime Factorization


2 714, 930, 312, 498
3 357, 465, 156, 249
119, 155, 52, 83

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

2 x 3 x 119 x 155 x 52 x 83 = 477651720

Therefore, the lowest common multiple of 714,930,312,498 is 477651720.

LCM Formula to Find Lowest Common Multiple of 714,930,312,498

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.

714 x 930 x 312 x 498 = 103172771520

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.

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

498 : 1, 2, 3, 6, 83, 166, 249, 498

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,930,312,498, is 6.

Now, the common factors can be found like this.

714:2x 3x 7x 17

930:2x 3x 5x 31

312:2x 2x 2x 3x 13

498:2x 3x 83

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 = 103172771520/(6x36)

LCM = 103172771520/216

LCM = 477651720

Thus, we can understand that the LCM of 714,930,312,498 is 477651720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 930, 312, 498

1. What is the LCM of 714, 930, 312, 498?

Answer: LCM of 714, 930, 312, 498 is 477651720.

2. How to calculate the LCM of 714, 930, 312, 498?

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 714, 930, 312, 498.

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}.