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LCM of 895, 369, 180, 472

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


Find the LCM of 895, 369, 180, 472 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 895, 369, 180, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,369,180,472

Given numbers are 895,369,180,472

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

The LCM of 895,369,180,472 is 155880360.

Find LCM of 895,369,180,472 with Prime Factorization


2 895, 369, 180, 472
2 895, 369, 90, 236
3 895, 369, 45, 118
3 895, 123, 15, 118
5 895, 41, 5, 118
179, 41, 1, 118

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

2 x 2 x 3 x 3 x 5 x 179 x 41 x 1 x 118 = 155880360

Therefore, the lowest common multiple of 895,369,180,472 is 155880360.

LCM Formula to Find Lowest Common Multiple of 895,369,180,472

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.

895 x 369 x 180 x 472 = 28058464800

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.

895 : 1, 5, 179, 895

369 : 1, 3, 9, 41, 123, 369

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,369,180,472, is 1.

Now, the common factors can be found like this.

895:5x 179

369:3x 3x 41

180:2x 2x 3x 3x 5

472:2x 2x 2x 59

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 28058464800/(1x180)

LCM = 28058464800/180

LCM = 155880360

Thus, we can understand that the LCM of 895,369,180,472 is 155880360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 369, 180, 472

1. What is the LCM of 895, 369, 180, 472?

Answer: LCM of 895, 369, 180, 472 is 155880360.

2. How to calculate the LCM of 895, 369, 180, 472?

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 895, 369, 180, 472.

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}.