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 696, 754, 134, 214

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


Find the LCM of 696, 754, 134, 214 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 696, 754, 134, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 696,754,134,214

Given numbers are 696,754,134,214

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

The LCM of 696,754,134,214 is 64865112.

Find LCM of 696,754,134,214 with Prime Factorization


2 696, 754, 134, 214
29 348, 377, 67, 107
12, 13, 67, 107

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

2 x 29 x 12 x 13 x 67 x 107 = 64865112

Therefore, the lowest common multiple of 696,754,134,214 is 64865112.

LCM Formula to Find Lowest Common Multiple of 696,754,134,214

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.

696 x 754 x 134 x 214 = 15048705984

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

754 : 1, 2, 13, 26, 29, 58, 377, 754

134 : 1, 2, 67, 134

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,754,134,214, is 2.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

754:2x 13x 29

134:2x 67

214:2x 107

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 29 = 116

Therefore, the value for common factors is 116.

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 = 15048705984/(2x116)

LCM = 15048705984/232

LCM = 64865112

Thus, we can understand that the LCM of 696,754,134,214 is 64865112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 696, 754, 134, 214

1. What is the LCM of 696, 754, 134, 214?

Answer: LCM of 696, 754, 134, 214 is 64865112.

2. How to calculate the LCM of 696, 754, 134, 214?

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 696, 754, 134, 214.

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}.