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 504, 602, 368, 877, 982

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


Find the LCM of 504, 602, 368, 877, 982 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 504, 602, 368, 877, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,602,368,877,982

Given numbers are 504,602,368,877,982

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

The LCM of 504,602,368,877,982 is 429277285584.

Find LCM of 504,602,368,877,982 with Prime Factorization


2 504, 602, 368, 877, 982
2 252, 301, 184, 877, 491
2 126, 301, 92, 877, 491
7 63, 301, 46, 877, 491
9, 43, 46, 877, 491

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

2 x 2 x 2 x 7 x 9 x 43 x 46 x 877 x 491 = 429277285584

Therefore, the lowest common multiple of 504,602,368,877,982 is 429277285584.

LCM Formula to Find Lowest Common Multiple of 504,602,368,877,982

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.

504 x 602 x 368 x 877 x 982 = 96158111970816

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

602 : 1, 2, 7, 14, 43, 86, 301, 602

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

877 : 1, 877

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,602,368,877,982, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

602:2x 7x 43

368:2x 2x 2x 2x 23

877:877

982:2x 491

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 2x 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 96158111970816/(1x224)

LCM = 96158111970816/224

LCM = 429277285584

Thus, we can understand that the LCM of 504,602,368,877,982 is 429277285584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 602, 368, 877, 982

1. What is the LCM of 504, 602, 368, 877, 982?

Answer: LCM of 504, 602, 368, 877, 982 is 429277285584.

2. How to calculate the LCM of 504, 602, 368, 877, 982?

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 504, 602, 368, 877, 982.

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}.