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 846, 566, 146, 741

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


Find the LCM of 846, 566, 146, 741 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 846, 566, 146, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 846,566,146,741

Given numbers are 846,566,146,741

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

The LCM of 846,566,146,741 is 4316945958.

Find LCM of 846,566,146,741 with Prime Factorization


2 846, 566, 146, 741
3 423, 283, 73, 741
141, 283, 73, 247

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

2 x 3 x 141 x 283 x 73 x 247 = 4316945958

Therefore, the lowest common multiple of 846,566,146,741 is 4316945958.

LCM Formula to Find Lowest Common Multiple of 846,566,146,741

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.

846 x 566 x 146 x 741 = 51803351496

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.

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

566 : 1, 2, 283, 566

146 : 1, 2, 73, 146

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,566,146,741, is 1.

Now, the common factors can be found like this.

846:2x 3x 3x 47

566:2x 283

146:2x 73

741:3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 51803351496/(1x12)

LCM = 51803351496/12

LCM = 4316945958

Thus, we can understand that the LCM of 846,566,146,741 is 4316945958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 846, 566, 146, 741

1. What is the LCM of 846, 566, 146, 741?

Answer: LCM of 846, 566, 146, 741 is 4316945958.

2. How to calculate the LCM of 846, 566, 146, 741?

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 846, 566, 146, 741.

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}.