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LCM of 429, 185, 746, 182

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


Find the LCM of 429, 185, 746, 182 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 429, 185, 746, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,185,746,182

Given numbers are 429,185,746,182

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

The LCM of 429,185,746,182 is 414444030.

Find LCM of 429,185,746,182 with Prime Factorization


2 429, 185, 746, 182
13 429, 185, 373, 91
33, 185, 373, 7

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

2 x 13 x 33 x 185 x 373 x 7 = 414444030

Therefore, the lowest common multiple of 429,185,746,182 is 414444030.

LCM Formula to Find Lowest Common Multiple of 429,185,746,182

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.

429 x 185 x 746 x 182 = 10775544780

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.

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

185 : 1, 5, 37, 185

746 : 1, 2, 373, 746

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,185,746,182, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

185:5x 37

746:2x 373

182:2x 7x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 10775544780/(1x26)

LCM = 10775544780/26

LCM = 414444030

Thus, we can understand that the LCM of 429,185,746,182 is 414444030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 185, 746, 182

1. What is the LCM of 429, 185, 746, 182?

Answer: LCM of 429, 185, 746, 182 is 414444030.

2. How to calculate the LCM of 429, 185, 746, 182?

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 429, 185, 746, 182.

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}.