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LCM of 292, 274, 516, 584

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


Find the LCM of 292, 274, 516, 584 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 292, 274, 516, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,274,516,584

Given numbers are 292,274,516,584

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

The LCM of 292,274,516,584 is 10321032.

Find LCM of 292,274,516,584 with Prime Factorization


2 292, 274, 516, 584
2 146, 137, 258, 292
73 73, 137, 129, 146
1, 137, 129, 2

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

2 x 2 x 73 x 1 x 137 x 129 x 2 = 10321032

Therefore, the lowest common multiple of 292,274,516,584 is 10321032.

LCM Formula to Find Lowest Common Multiple of 292,274,516,584

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.

292 x 274 x 516 x 584 = 24109930752

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.

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

274 : 1, 2, 137, 274

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,274,516,584, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

274:2x 137

516:2x 2x 3x 43

584:2x 2x 2x 73

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 = 24109930752/(2x1168)

LCM = 24109930752/2336

LCM = 10321032

Thus, we can understand that the LCM of 292,274,516,584 is 10321032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 274, 516, 584

1. What is the LCM of 292, 274, 516, 584?

Answer: LCM of 292, 274, 516, 584 is 10321032.

2. How to calculate the LCM of 292, 274, 516, 584?

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 292, 274, 516, 584.

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}.