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LCM of 491, 527, 540, 703, 713

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


Find the LCM of 491, 527, 540, 703, 713 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 491, 527, 540, 703, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,527,540,703,713

Given numbers are 491,527,540,703,713

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

The LCM of 491,527,540,703,713 is 2259274643820.

Find LCM of 491,527,540,703,713 with Prime Factorization


31 491, 527, 540, 703, 713
491, 17, 540, 703, 23

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

31 x 491 x 17 x 540 x 703 x 23 = 2259274643820

Therefore, the lowest common multiple of 491,527,540,703,713 is 2259274643820.

LCM Formula to Find Lowest Common Multiple of 491,527,540,703,713

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.

491 x 527 x 540 x 703 x 713 = 70037513958420

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.

491 : 1, 491

527 : 1, 17, 31, 527

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

703 : 1, 19, 37, 703

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,527,540,703,713, is 1.

Now, the common factors can be found like this.

491:491

527:17x 31

540:2x 2x 3x 3x 3x 5

703:19x 37

713:23x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 70037513958420/(1x31)

LCM = 70037513958420/31

LCM = 2259274643820

Thus, we can understand that the LCM of 491,527,540,703,713 is 2259274643820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 527, 540, 703, 713

1. What is the LCM of 491, 527, 540, 703, 713?

Answer: LCM of 491, 527, 540, 703, 713 is 2259274643820.

2. How to calculate the LCM of 491, 527, 540, 703, 713?

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 491, 527, 540, 703, 713.

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}.