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 534, 517, 980

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


Find the LCM of 534, 517, 980 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 534, 517, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,517,980

Given numbers are 534,517,980

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

The LCM of 534,517,980 is 135278220.

Find LCM of 534,517,980 with Prime Factorization


2 534, 517, 980
267, 517, 490

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

2 x 267 x 517 x 490 = 135278220

Therefore, the lowest common multiple of 534,517,980 is 135278220.

LCM Formula to Find Lowest Common Multiple of 534,517,980

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.

534 x 517 x 980 = 270556440

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

517 : 1, 11, 47, 517

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,517,980, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

517:11x 47

980:2x 2x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 270556440/(1x2)

LCM = 270556440/2

LCM = 135278220

Thus, we can understand that the LCM of 534,517,980 is 135278220.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 534, 517, 980

1. What is the LCM of 534, 517, 980?

Answer: LCM of 534, 517, 980 is 135278220.

2. How to calculate the LCM of 534, 517, 980?

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 534, 517, 980.

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}.