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LCM of 315, 548, 124, 224

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


Find the LCM of 315, 548, 124, 224 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 315, 548, 124, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,548,124,224

Given numbers are 315,548,124,224

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

The LCM of 315,548,124,224 is 42809760.

Find LCM of 315,548,124,224 with Prime Factorization


2 315, 548, 124, 224
2 315, 274, 62, 112
7 315, 137, 31, 56
45, 137, 31, 8

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

2 x 2 x 7 x 45 x 137 x 31 x 8 = 42809760

Therefore, the lowest common multiple of 315,548,124,224 is 42809760.

LCM Formula to Find Lowest Common Multiple of 315,548,124,224

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.

315 x 548 x 124 x 224 = 4794693120

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

548 : 1, 2, 4, 137, 274, 548

124 : 1, 2, 4, 31, 62, 124

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,548,124,224, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

548:2x 2x 137

124:2x 2x 31

224:2x 2x 2x 2x 2x 7

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 4794693120/(1x112)

LCM = 4794693120/112

LCM = 42809760

Thus, we can understand that the LCM of 315,548,124,224 is 42809760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 548, 124, 224

1. What is the LCM of 315, 548, 124, 224?

Answer: LCM of 315, 548, 124, 224 is 42809760.

2. How to calculate the LCM of 315, 548, 124, 224?

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 315, 548, 124, 224.

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}.