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LCM of 685, 975, 874, 949, 736

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


Find the LCM of 685, 975, 874, 949, 736 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, 975, 874, 949, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,975,874,949,736

Given numbers are 685,975,874,949,736

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

The LCM of 685,975,874,949,736 is 136357634400.

Find LCM of 685,975,874,949,736 with Prime Factorization


2 685, 975, 874, 949, 736
5 685, 975, 437, 949, 368
13 137, 195, 437, 949, 368
23 137, 15, 437, 73, 368
137, 15, 19, 73, 16

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

2 x 5 x 13 x 23 x 137 x 15 x 19 x 73 x 16 = 136357634400

Therefore, the lowest common multiple of 685,975,874,949,736 is 136357634400.

LCM Formula to Find Lowest Common Multiple of 685,975,874,949,736

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 975 x 874 x 949 x 736 = 407709326856000

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

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

949 : 1, 13, 73, 949

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,975,874,949,736, is 1.

Now, the common factors can be found like this.

685:5x 137

975:3x 5x 5x 13

874:2x 19x 23

949:13x 73

736:2x 2x 2x 2x 2x 23

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

2x 5x 13x 23 = 2990

Therefore, the value for common factors is 2990.

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 = 407709326856000/(1x2990)

LCM = 407709326856000/2990

LCM = 136357634400

Thus, we can understand that the LCM of 685,975,874,949,736 is 136357634400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 975, 874, 949, 736

1. What is the LCM of 685, 975, 874, 949, 736?

Answer: LCM of 685, 975, 874, 949, 736 is 136357634400.

2. How to calculate the LCM of 685, 975, 874, 949, 736?

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, 975, 874, 949, 736.

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}.