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LCM of 685, 532, 115, 735

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


Find the LCM of 685, 532, 115, 735 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 685, 532, 115, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,532,115,735

Given numbers are 685,532,115,735

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

The LCM of 685,532,115,735 is 176014860.

Find LCM of 685,532,115,735 with Prime Factorization


5 685, 532, 115, 735
7 137, 532, 23, 147
137, 76, 23, 21

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

5 x 7 x 137 x 76 x 23 x 21 = 176014860

Therefore, the lowest common multiple of 685,532,115,735 is 176014860.

LCM Formula to Find Lowest Common Multiple of 685,532,115,735

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.

685 x 532 x 115 x 735 = 30802600500

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.

685 : 1, 5, 137, 685

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

115 : 1, 5, 23, 115

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,532,115,735, is 1.

Now, the common factors can be found like this.

685:5x 137

532:2x 2x 7x 19

115:5x 23

735:3x 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.

5x 5x 7 = 175

Therefore, the value for common factors is 175.

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 = 30802600500/(1x175)

LCM = 30802600500/175

LCM = 176014860

Thus, we can understand that the LCM of 685,532,115,735 is 176014860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 532, 115, 735

1. What is the LCM of 685, 532, 115, 735?

Answer: LCM of 685, 532, 115, 735 is 176014860.

2. How to calculate the LCM of 685, 532, 115, 735?

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 685, 532, 115, 735.

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}.