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 156, 523, 210, 429

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


Find the LCM of 156, 523, 210, 429 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 156, 523, 210, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,523,210,429

Given numbers are 156,523,210,429

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

The LCM of 156,523,210,429 is 31411380.

Find LCM of 156,523,210,429 with Prime Factorization


2 156, 523, 210, 429
3 78, 523, 105, 429
13 26, 523, 35, 143
2, 523, 35, 11

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

2 x 3 x 13 x 2 x 523 x 35 x 11 = 31411380

Therefore, the lowest common multiple of 156,523,210,429 is 31411380.

LCM Formula to Find Lowest Common Multiple of 156,523,210,429

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.

156 x 523 x 210 x 429 = 7350262920

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

523 : 1, 523

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,523,210,429, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

523:523

210:2x 3x 5x 7

429:3x 11x 13

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 7350262920/(1x234)

LCM = 7350262920/234

LCM = 31411380

Thus, we can understand that the LCM of 156,523,210,429 is 31411380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 523, 210, 429

1. What is the LCM of 156, 523, 210, 429?

Answer: LCM of 156, 523, 210, 429 is 31411380.

2. How to calculate the LCM of 156, 523, 210, 429?

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 156, 523, 210, 429.

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}.