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LCM of 510, 109, 970, 986

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


Find the LCM of 510, 109, 970, 986 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 510, 109, 970, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,109,970,986

Given numbers are 510,109,970,986

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

The LCM of 510,109,970,986 is 156374670.

Find LCM of 510,109,970,986 with Prime Factorization


2 510, 109, 970, 986
5 255, 109, 485, 493
17 51, 109, 97, 493
3, 109, 97, 29

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

2 x 5 x 17 x 3 x 109 x 97 x 29 = 156374670

Therefore, the lowest common multiple of 510,109,970,986 is 156374670.

LCM Formula to Find Lowest Common Multiple of 510,109,970,986

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.

510 x 109 x 970 x 986 = 53167387800

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

109 : 1, 109

970 : 1, 2, 5, 10, 97, 194, 485, 970

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,109,970,986, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

109:109

970:2x 5x 97

986:2x 17x 29

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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 53167387800/(1x340)

LCM = 53167387800/340

LCM = 156374670

Thus, we can understand that the LCM of 510,109,970,986 is 156374670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 109, 970, 986

1. What is the LCM of 510, 109, 970, 986?

Answer: LCM of 510, 109, 970, 986 is 156374670.

2. How to calculate the LCM of 510, 109, 970, 986?

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 510, 109, 970, 986.

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}.