LCM of 541, 712, 851, 673, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 712, 851, 673, 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 541, 712, 851, 673, 736. So, keep reading to learn more.
Given numbers are 541,712,851,673,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,712,851,673,736 is 882433271264.
Find LCM of 541,712,851,673,736 with Prime Factorization
| 2 | 541, 712, 851, 673, 736 |
| 2 | 541, 356, 851, 673, 368 |
| 2 | 541, 178, 851, 673, 184 |
| 23 | 541, 89, 851, 673, 92 |
| 541, 89, 37, 673, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 541 x 89 x 37 x 673 x 4 = 882433271264
Therefore, the lowest common multiple of 541,712,851,673,736 is 882433271264.
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.
541 x 712 x 851 x 673 x 736 = 162367721912576
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.
541 : 1, 541
712 : 1, 2, 4, 8, 89, 178, 356, 712
851 : 1, 23, 37, 851
673 : 1, 673
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 541,712,851,673,736, is 1.
Now, the common factors can be found like this.
541:541
712:2x 2x 2x 89
851:23x 37
673:673
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 2x 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 162367721912576/(1x184)
LCM = 162367721912576/184
LCM = 882433271264
Thus, we can understand that the LCM of 541,712,851,673,736 is 882433271264.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 712, 851, 673, 736
1. What is the LCM of 541, 712, 851, 673, 736?
Answer: LCM of 541, 712, 851, 673, 736 is 882433271264.
2. How to calculate the LCM of 541, 712, 851, 673, 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 541, 712, 851, 673, 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}.