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LCM of 137, 685, 969, 206

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


Find the LCM of 137, 685, 969, 206 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 137, 685, 969, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 137,685,969,206

Given numbers are 137,685,969,206

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

The LCM of 137,685,969,206 is 136735590.

Find LCM of 137,685,969,206 with Prime Factorization


137 137, 685, 969, 206
1, 5, 969, 206

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

137 x 1 x 5 x 969 x 206 = 136735590

Therefore, the lowest common multiple of 137,685,969,206 is 136735590.

LCM Formula to Find Lowest Common Multiple of 137,685,969,206

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.

137 x 685 x 969 x 206 = 18732775830

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.

137 : 1, 137

685 : 1, 5, 137, 685

969 : 1, 3, 17, 19, 51, 57, 323, 969

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,685,969,206, is 1.

Now, the common factors can be found like this.

137:137

685:5x 137

969:3x 17x 19

206:2x 103

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

137 = 137

Therefore, the value for common factors is 137.

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 = 18732775830/(1x137)

LCM = 18732775830/137

LCM = 136735590

Thus, we can understand that the LCM of 137,685,969,206 is 136735590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 137, 685, 969, 206

1. What is the LCM of 137, 685, 969, 206?

Answer: LCM of 137, 685, 969, 206 is 136735590.

2. How to calculate the LCM of 137, 685, 969, 206?

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 137, 685, 969, 206.

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}.