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LCM of 712, 122, 892, 925, 684

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


Find the LCM of 712, 122, 892, 925, 684 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 712, 122, 892, 925, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 712,122,892,925,684

Given numbers are 712,122,892,925,684

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

The LCM of 712,122,892,925,684 is 1531978021800.

Find LCM of 712,122,892,925,684 with Prime Factorization


2 712, 122, 892, 925, 684
2 356, 61, 446, 925, 342
178, 61, 223, 925, 171

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

2 x 2 x 178 x 61 x 223 x 925 x 171 = 1531978021800

Therefore, the lowest common multiple of 712,122,892,925,684 is 1531978021800.

LCM Formula to Find Lowest Common Multiple of 712,122,892,925,684

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.

712 x 122 x 892 x 925 x 684 = 49023296697600

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

122 : 1, 2, 61, 122

892 : 1, 2, 4, 223, 446, 892

925 : 1, 5, 25, 37, 185, 925

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,122,892,925,684, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

122:2x 61

892:2x 2x 223

925:5x 5x 37

684:2x 2x 3x 3x 19

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 49023296697600/(1x32)

LCM = 49023296697600/32

LCM = 1531978021800

Thus, we can understand that the LCM of 712,122,892,925,684 is 1531978021800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 712, 122, 892, 925, 684

1. What is the LCM of 712, 122, 892, 925, 684?

Answer: LCM of 712, 122, 892, 925, 684 is 1531978021800.

2. How to calculate the LCM of 712, 122, 892, 925, 684?

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 712, 122, 892, 925, 684.

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}.