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LCM of 860, 680, 254, 592

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


Find the LCM of 860, 680, 254, 592 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 860, 680, 254, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,680,254,592

Given numbers are 860,680,254,592

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

The LCM of 860,680,254,592 is 274797520.

Find LCM of 860,680,254,592 with Prime Factorization


2 860, 680, 254, 592
2 430, 340, 127, 296
2 215, 170, 127, 148
5 215, 85, 127, 74
43, 17, 127, 74

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

2 x 2 x 2 x 5 x 43 x 17 x 127 x 74 = 274797520

Therefore, the lowest common multiple of 860,680,254,592 is 274797520.

LCM Formula to Find Lowest Common Multiple of 860,680,254,592

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.

860 x 680 x 254 x 592 = 87935206400

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

254 : 1, 2, 127, 254

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,680,254,592, is 2.

Now, the common factors can be found like this.

860:2x 2x 5x 43

680:2x 2x 2x 5x 17

254:2x 127

592:2x 2x 2x 2x 37

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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 87935206400/(2x160)

LCM = 87935206400/320

LCM = 274797520

Thus, we can understand that the LCM of 860,680,254,592 is 274797520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 680, 254, 592

1. What is the LCM of 860, 680, 254, 592?

Answer: LCM of 860, 680, 254, 592 is 274797520.

2. How to calculate the LCM of 860, 680, 254, 592?

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 860, 680, 254, 592.

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}.