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LCM of 830, 545, 152, 686

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


Find the LCM of 830, 545, 152, 686 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 830, 545, 152, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,545,152,686

Given numbers are 830,545,152,686

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

The LCM of 830,545,152,686 is 2358371960.

Find LCM of 830,545,152,686 with Prime Factorization


2 830, 545, 152, 686
5 415, 545, 76, 343
83, 109, 76, 343

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

2 x 5 x 83 x 109 x 76 x 343 = 2358371960

Therefore, the lowest common multiple of 830,545,152,686 is 2358371960.

LCM Formula to Find Lowest Common Multiple of 830,545,152,686

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.

830 x 545 x 152 x 686 = 47167439200

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

545 : 1, 5, 109, 545

152 : 1, 2, 4, 8, 19, 38, 76, 152

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,545,152,686, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

545:5x 109

152:2x 2x 2x 19

686:2x 7x 7x 7

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 5 = 20

Therefore, the value for common factors is 20.

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 = 47167439200/(1x20)

LCM = 47167439200/20

LCM = 2358371960

Thus, we can understand that the LCM of 830,545,152,686 is 2358371960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 545, 152, 686

1. What is the LCM of 830, 545, 152, 686?

Answer: LCM of 830, 545, 152, 686 is 2358371960.

2. How to calculate the LCM of 830, 545, 152, 686?

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 830, 545, 152, 686.

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}.