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 667, 546, 910, 907

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


Find the LCM of 667, 546, 910, 907 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 667, 546, 910, 907. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,546,910,907

Given numbers are 667,546,910,907

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

The LCM of 667,546,910,907 is 1651565370.

Find LCM of 667,546,910,907 with Prime Factorization


2 667, 546, 910, 907
7 667, 273, 455, 907
13 667, 39, 65, 907
667, 3, 5, 907

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

2 x 7 x 13 x 667 x 3 x 5 x 907 = 1651565370

Therefore, the lowest common multiple of 667,546,910,907 is 1651565370.

LCM Formula to Find Lowest Common Multiple of 667,546,910,907

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.

667 x 546 x 910 x 907 = 300584897340

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.

667 : 1, 23, 29, 667

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

907 : 1, 907

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,546,910,907, is 1.

Now, the common factors can be found like this.

667:23x 29

546:2x 3x 7x 13

910:2x 5x 7x 13

907:907

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 13 = 182

Therefore, the value for common factors is 182.

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 = 300584897340/(1x182)

LCM = 300584897340/182

LCM = 1651565370

Thus, we can understand that the LCM of 667,546,910,907 is 1651565370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 546, 910, 907

1. What is the LCM of 667, 546, 910, 907?

Answer: LCM of 667, 546, 910, 907 is 1651565370.

2. How to calculate the LCM of 667, 546, 910, 907?

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 667, 546, 910, 907.

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}.