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LCM of 147, 720, 490, 680

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


Find the LCM of 147, 720, 490, 680 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 147, 720, 490, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,720,490,680

Given numbers are 147,720,490,680

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

The LCM of 147,720,490,680 is 599760.

Find LCM of 147,720,490,680 with Prime Factorization


2 147, 720, 490, 680
2 147, 360, 245, 340
2 147, 180, 245, 170
3 147, 90, 245, 85
5 49, 30, 245, 85
7 49, 6, 49, 17
7 7, 6, 7, 17
1, 6, 1, 17

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

2 x 2 x 2 x 3 x 5 x 7 x 7 x 1 x 6 x 1 x 17 = 599760

Therefore, the lowest common multiple of 147,720,490,680 is 599760.

LCM Formula to Find Lowest Common Multiple of 147,720,490,680

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.

147 x 720 x 490 x 680 = 35265888000

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.

147 : 1, 3, 7, 21, 49, 147

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,720,490,680, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

720:2x 2x 2x 2x 3x 3x 5

490:2x 5x 7x 7

680:2x 2x 2x 5x 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 3x 5x 5x 7x 7 = 58800

Therefore, the value for common factors is 58800.

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 = 35265888000/(1x58800)

LCM = 35265888000/58800

LCM = 599760

Thus, we can understand that the LCM of 147,720,490,680 is 599760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 720, 490, 680

1. What is the LCM of 147, 720, 490, 680?

Answer: LCM of 147, 720, 490, 680 is 599760.

2. How to calculate the LCM of 147, 720, 490, 680?

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 147, 720, 490, 680.

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}.