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LCM of 248, 584, 438, 703

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


Find the LCM of 248, 584, 438, 703 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 248, 584, 438, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,584,438,703

Given numbers are 248,584,438,703

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

The LCM of 248,584,438,703 is 38181336.

Find LCM of 248,584,438,703 with Prime Factorization


2 248, 584, 438, 703
2 124, 292, 219, 703
2 62, 146, 219, 703
73 31, 73, 219, 703
31, 1, 3, 703

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

2 x 2 x 2 x 73 x 31 x 1 x 3 x 703 = 38181336

Therefore, the lowest common multiple of 248,584,438,703 is 38181336.

LCM Formula to Find Lowest Common Multiple of 248,584,438,703

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.

248 x 584 x 438 x 703 = 44595800448

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

584 : 1, 2, 4, 8, 73, 146, 292, 584

438 : 1, 2, 3, 6, 73, 146, 219, 438

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,584,438,703, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

584:2x 2x 2x 73

438:2x 3x 73

703:19x 37

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 73 = 1168

Therefore, the value for common factors is 1168.

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 = 44595800448/(1x1168)

LCM = 44595800448/1168

LCM = 38181336

Thus, we can understand that the LCM of 248,584,438,703 is 38181336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 584, 438, 703

1. What is the LCM of 248, 584, 438, 703?

Answer: LCM of 248, 584, 438, 703 is 38181336.

2. How to calculate the LCM of 248, 584, 438, 703?

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 248, 584, 438, 703.

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}.