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LCM of 854, 420, 235, 177, 428

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


Find the LCM of 854, 420, 235, 177, 428 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 854, 420, 235, 177, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,420,235,177,428

Given numbers are 854,420,235,177,428

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

The LCM of 854,420,235,177,428 is 7601735820.

Find LCM of 854,420,235,177,428 with Prime Factorization


2 854, 420, 235, 177, 428
2 427, 210, 235, 177, 214
3 427, 105, 235, 177, 107
5 427, 35, 235, 59, 107
7 427, 7, 47, 59, 107
61, 1, 47, 59, 107

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

2 x 2 x 3 x 5 x 7 x 61 x 1 x 47 x 59 x 107 = 7601735820

Therefore, the lowest common multiple of 854,420,235,177,428 is 7601735820.

LCM Formula to Find Lowest Common Multiple of 854,420,235,177,428

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.

854 x 420 x 235 x 177 x 428 = 6385458088800

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.

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

235 : 1, 5, 47, 235

177 : 1, 3, 59, 177

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,420,235,177,428, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

420:2x 2x 3x 5x 7

235:5x 47

177:3x 59

428:2x 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 2x 3x 5x 7 = 840

Therefore, the value for common factors is 840.

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 = 6385458088800/(1x840)

LCM = 6385458088800/840

LCM = 7601735820

Thus, we can understand that the LCM of 854,420,235,177,428 is 7601735820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 420, 235, 177, 428

1. What is the LCM of 854, 420, 235, 177, 428?

Answer: LCM of 854, 420, 235, 177, 428 is 7601735820.

2. How to calculate the LCM of 854, 420, 235, 177, 428?

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 854, 420, 235, 177, 428.

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}.