LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 717, 975, 527, 197, 112

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


Find the LCM of 717, 975, 527, 197, 112 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 717, 975, 527, 197, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,975,527,197,112

Given numbers are 717,975,527,197,112

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

The LCM of 717,975,527,197,112 is 2709551317200.

Find LCM of 717,975,527,197,112 with Prime Factorization


3 717, 975, 527, 197, 112
239, 325, 527, 197, 112

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

3 x 239 x 325 x 527 x 197 x 112 = 2709551317200

Therefore, the lowest common multiple of 717,975,527,197,112 is 2709551317200.

LCM Formula to Find Lowest Common Multiple of 717,975,527,197,112

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.

717 x 975 x 527 x 197 x 112 = 8128653951600

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.

717 : 1, 3, 239, 717

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

527 : 1, 17, 31, 527

197 : 1, 197

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,975,527,197,112, is 1.

Now, the common factors can be found like this.

717:3x 239

975:3x 5x 5x 13

527:17x 31

197:197

112:2x 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.

3 = 3

Therefore, the value for common factors is 3.

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 = 8128653951600/(1x3)

LCM = 8128653951600/3

LCM = 2709551317200

Thus, we can understand that the LCM of 717,975,527,197,112 is 2709551317200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 975, 527, 197, 112

1. What is the LCM of 717, 975, 527, 197, 112?

Answer: LCM of 717, 975, 527, 197, 112 is 2709551317200.

2. How to calculate the LCM of 717, 975, 527, 197, 112?

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 717, 975, 527, 197, 112.

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}.