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 471, 949, 716, 898, 938

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


Find the LCM of 471, 949, 716, 898, 938 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 471, 949, 716, 898, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,949,716,898,938

Given numbers are 471,949,716,898,938

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

The LCM of 471,949,716,898,938 is 67393703916084.

Find LCM of 471,949,716,898,938 with Prime Factorization


2 471, 949, 716, 898, 938
471, 949, 358, 449, 469

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

2 x 471 x 949 x 358 x 449 x 469 = 67393703916084

Therefore, the lowest common multiple of 471,949,716,898,938 is 67393703916084.

LCM Formula to Find Lowest Common Multiple of 471,949,716,898,938

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.

471 x 949 x 716 x 898 x 938 = 269574815664336

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.

471 : 1, 3, 157, 471

949 : 1, 13, 73, 949

716 : 1, 2, 4, 179, 358, 716

898 : 1, 2, 449, 898

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,949,716,898,938, is 1.

Now, the common factors can be found like this.

471:3x 157

949:13x 73

716:2x 2x 179

898:2x 449

938:2x 7x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 269574815664336/(1x4)

LCM = 269574815664336/4

LCM = 67393703916084

Thus, we can understand that the LCM of 471,949,716,898,938 is 67393703916084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 949, 716, 898, 938

1. What is the LCM of 471, 949, 716, 898, 938?

Answer: LCM of 471, 949, 716, 898, 938 is 67393703916084.

2. How to calculate the LCM of 471, 949, 716, 898, 938?

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 471, 949, 716, 898, 938.

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}.