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LCM of 498, 420, 345, 707

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


Find the LCM of 498, 420, 345, 707 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 498, 420, 345, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 498,420,345,707

Given numbers are 498,420,345,707

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

The LCM of 498,420,345,707 is 80979780.

Find LCM of 498,420,345,707 with Prime Factorization


2 498, 420, 345, 707
3 249, 210, 345, 707
5 83, 70, 115, 707
7 83, 14, 23, 707
83, 2, 23, 101

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

2 x 3 x 5 x 7 x 83 x 2 x 23 x 101 = 80979780

Therefore, the lowest common multiple of 498,420,345,707 is 80979780.

LCM Formula to Find Lowest Common Multiple of 498,420,345,707

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.

498 x 420 x 345 x 707 = 51017261400

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.

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

345 : 1, 3, 5, 15, 23, 69, 115, 345

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,420,345,707, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

420:2x 2x 3x 5x 7

345:3x 5x 23

707:7x 101

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

2x 3x 3x 5x 7 = 630

Therefore, the value for common factors is 630.

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 = 51017261400/(1x630)

LCM = 51017261400/630

LCM = 80979780

Thus, we can understand that the LCM of 498,420,345,707 is 80979780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 498, 420, 345, 707

1. What is the LCM of 498, 420, 345, 707?

Answer: LCM of 498, 420, 345, 707 is 80979780.

2. How to calculate the LCM of 498, 420, 345, 707?

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 498, 420, 345, 707.

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}.