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 238, 551, 301, 114, 377

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


Find the LCM of 238, 551, 301, 114, 377 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 238, 551, 301, 114, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 238,551,301,114,377

Given numbers are 238,551,301,114,377

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

The LCM of 238,551,301,114,377 is 219918426.

Find LCM of 238,551,301,114,377 with Prime Factorization


2 238, 551, 301, 114, 377
7 119, 551, 301, 57, 377
19 17, 551, 43, 57, 377
29 17, 29, 43, 3, 377
17, 1, 43, 3, 13

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

2 x 7 x 19 x 29 x 17 x 1 x 43 x 3 x 13 = 219918426

Therefore, the lowest common multiple of 238,551,301,114,377 is 219918426.

LCM Formula to Find Lowest Common Multiple of 238,551,301,114,377

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.

238 x 551 x 301 x 114 x 377 = 1696450738164

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

551 : 1, 19, 29, 551

301 : 1, 7, 43, 301

114 : 1, 2, 3, 6, 19, 38, 57, 114

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,551,301,114,377, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

551:19x 29

301:7x 43

114:2x 3x 19

377:13x 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 7x 19x 29 = 7714

Therefore, the value for common factors is 7714.

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 = 1696450738164/(1x7714)

LCM = 1696450738164/7714

LCM = 219918426

Thus, we can understand that the LCM of 238,551,301,114,377 is 219918426.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 238, 551, 301, 114, 377

1. What is the LCM of 238, 551, 301, 114, 377?

Answer: LCM of 238, 551, 301, 114, 377 is 219918426.

2. How to calculate the LCM of 238, 551, 301, 114, 377?

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 238, 551, 301, 114, 377.

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}.