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 694, 134, 148, 819, 854

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


Find the LCM of 694, 134, 148, 819, 854 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 694, 134, 148, 819, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,134,148,819,854

Given numbers are 694,134,148,819,854

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

The LCM of 694,134,148,819,854 is 171901525068.

Find LCM of 694,134,148,819,854 with Prime Factorization


2 694, 134, 148, 819, 854
7 347, 67, 74, 819, 427
347, 67, 74, 117, 61

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

2 x 7 x 347 x 67 x 74 x 117 x 61 = 171901525068

Therefore, the lowest common multiple of 694,134,148,819,854 is 171901525068.

LCM Formula to Find Lowest Common Multiple of 694,134,148,819,854

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.

694 x 134 x 148 x 819 x 854 = 9626485403808

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.

694 : 1, 2, 347, 694

134 : 1, 2, 67, 134

148 : 1, 2, 4, 37, 74, 148

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,134,148,819,854, is 1.

Now, the common factors can be found like this.

694:2x 347

134:2x 67

148:2x 2x 37

819:3x 3x 7x 13

854:2x 7x 61

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 7 = 56

Therefore, the value for common factors is 56.

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 = 9626485403808/(1x56)

LCM = 9626485403808/56

LCM = 171901525068

Thus, we can understand that the LCM of 694,134,148,819,854 is 171901525068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 134, 148, 819, 854

1. What is the LCM of 694, 134, 148, 819, 854?

Answer: LCM of 694, 134, 148, 819, 854 is 171901525068.

2. How to calculate the LCM of 694, 134, 148, 819, 854?

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 694, 134, 148, 819, 854.

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}.