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 190, 842, 842, 358, 988

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


Find the LCM of 190, 842, 842, 358, 988 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 190, 842, 842, 358, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,842,842,358,988

Given numbers are 190,842,842,358,988

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

The LCM of 190,842,842,358,988 is 372273460.

Find LCM of 190,842,842,358,988 with Prime Factorization


2 190, 842, 842, 358, 988
19 95, 421, 421, 179, 494
421 5, 421, 421, 179, 26
5, 1, 1, 179, 26

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

2 x 19 x 421 x 5 x 1 x 1 x 179 x 26 = 372273460

Therefore, the lowest common multiple of 190,842,842,358,988 is 372273460.

LCM Formula to Find Lowest Common Multiple of 190,842,842,358,988

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.

190 x 842 x 842 x 358 x 988 = 47645046504640

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

842 : 1, 2, 421, 842

842 : 1, 2, 421, 842

358 : 1, 2, 179, 358

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,842,842,358,988, is 2.

Now, the common factors can be found like this.

190:2x 5x 19

842:2x 421

842:2x 421

358:2x 179

988:2x 2x 13x 19

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 19x 421 = 63992

Therefore, the value for common factors is 63992.

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 = 47645046504640/(2x63992)

LCM = 47645046504640/127984

LCM = 372273460

Thus, we can understand that the LCM of 190,842,842,358,988 is 372273460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 842, 842, 358, 988

1. What is the LCM of 190, 842, 842, 358, 988?

Answer: LCM of 190, 842, 842, 358, 988 is 372273460.

2. How to calculate the LCM of 190, 842, 842, 358, 988?

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 190, 842, 842, 358, 988.

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}.