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LCM of 414, 342, 103, 117

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


Find the LCM of 414, 342, 103, 117 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 414, 342, 103, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 414,342,103,117

Given numbers are 414,342,103,117

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

The LCM of 414,342,103,117 is 10532574.

Find LCM of 414,342,103,117 with Prime Factorization


2 414, 342, 103, 117
3 207, 171, 103, 117
3 69, 57, 103, 39
23, 19, 103, 13

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

2 x 3 x 3 x 23 x 19 x 103 x 13 = 10532574

Therefore, the lowest common multiple of 414,342,103,117 is 10532574.

LCM Formula to Find Lowest Common Multiple of 414,342,103,117

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.

414 x 342 x 103 x 117 = 1706276988

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

103 : 1, 103

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,342,103,117, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

342:2x 3x 3x 19

103:103

117:3x 3x 13

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 1706276988/(1x162)

LCM = 1706276988/162

LCM = 10532574

Thus, we can understand that the LCM of 414,342,103,117 is 10532574.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 414, 342, 103, 117

1. What is the LCM of 414, 342, 103, 117?

Answer: LCM of 414, 342, 103, 117 is 10532574.

2. How to calculate the LCM of 414, 342, 103, 117?

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 414, 342, 103, 117.

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}.