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LCM of 685, 862, 870, 696

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


Find the LCM of 685, 862, 870, 696 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 685, 862, 870, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,862,870,696

Given numbers are 685,862,870,696

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

The LCM of 685,862,870,696 is 205483560.

Find LCM of 685,862,870,696 with Prime Factorization


2 685, 862, 870, 696
3 685, 431, 435, 348
5 685, 431, 145, 116
29 137, 431, 29, 116
137, 431, 1, 4

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

2 x 3 x 5 x 29 x 137 x 431 x 1 x 4 = 205483560

Therefore, the lowest common multiple of 685,862,870,696 is 205483560.

LCM Formula to Find Lowest Common Multiple of 685,862,870,696

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.

685 x 862 x 870 x 696 = 357541394400

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.

685 : 1, 5, 137, 685

862 : 1, 2, 431, 862

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,862,870,696, is 1.

Now, the common factors can be found like this.

685:5x 137

862:2x 431

870:2x 3x 5x 29

696:2x 2x 2x 3x 29

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 5x 29 = 1740

Therefore, the value for common factors is 1740.

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 = 357541394400/(1x1740)

LCM = 357541394400/1740

LCM = 205483560

Thus, we can understand that the LCM of 685,862,870,696 is 205483560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 862, 870, 696

1. What is the LCM of 685, 862, 870, 696?

Answer: LCM of 685, 862, 870, 696 is 205483560.

2. How to calculate the LCM of 685, 862, 870, 696?

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 685, 862, 870, 696.

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}.