LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 414, 380, 247, 158, 546

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


Find the LCM of 414, 380, 247, 158, 546 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, 380, 247, 158, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 414,380,247,158,546

Given numbers are 414,380,247,158,546

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

The LCM of 414,380,247,158,546 is 565486740.

Find LCM of 414,380,247,158,546 with Prime Factorization


2 414, 380, 247, 158, 546
3 207, 190, 247, 79, 273
13 69, 190, 247, 79, 91
19 69, 190, 19, 79, 7
69, 10, 1, 79, 7

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

2 x 3 x 13 x 19 x 69 x 10 x 1 x 79 x 7 = 565486740

Therefore, the lowest common multiple of 414,380,247,158,546 is 565486740.

LCM Formula to Find Lowest Common Multiple of 414,380,247,158,546

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 380 x 247 x 158 x 546 = 3352205394720

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

247 : 1, 13, 19, 247

158 : 1, 2, 79, 158

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,380,247,158,546, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

380:2x 2x 5x 19

247:13x 19

158:2x 79

546:2x 3x 7x 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 2x 2x 3x 13x 19 = 5928

Therefore, the value for common factors is 5928.

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 = 3352205394720/(1x5928)

LCM = 3352205394720/5928

LCM = 565486740

Thus, we can understand that the LCM of 414,380,247,158,546 is 565486740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 414, 380, 247, 158, 546

1. What is the LCM of 414, 380, 247, 158, 546?

Answer: LCM of 414, 380, 247, 158, 546 is 565486740.

2. How to calculate the LCM of 414, 380, 247, 158, 546?

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, 380, 247, 158, 546.

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}.