LCM of 973, 298, 786, 748, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 298, 786, 748, 131 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 973, 298, 786, 748, 131. So, keep reading to learn more.
Given numbers are 973,298,786,748,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,298,786,748,131 is 42618018828.
Find LCM of 973,298,786,748,131 with Prime Factorization
| 2 | 973, 298, 786, 748, 131 |
| 131 | 973, 149, 393, 374, 131 |
| 973, 149, 3, 374, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 973 x 149 x 3 x 374 x 1 = 42618018828
Therefore, the lowest common multiple of 973,298,786,748,131 is 42618018828.
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.
973 x 298 x 786 x 748 x 131 = 22331841865872
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.
973 : 1, 7, 139, 973
298 : 1, 2, 149, 298
786 : 1, 2, 3, 6, 131, 262, 393, 786
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,298,786,748,131, is 1.
Now, the common factors can be found like this.
973:7x 139
298:2x 149
786:2x 3x 131
748:2x 2x 11x 17
131:131
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 131 = 524
Therefore, the value for common factors is 524.
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 = 22331841865872/(1x524)
LCM = 22331841865872/524
LCM = 42618018828
Thus, we can understand that the LCM of 973,298,786,748,131 is 42618018828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 973, 298, 786, 748, 131
1. What is the LCM of 973, 298, 786, 748, 131?
Answer: LCM of 973, 298, 786, 748, 131 is 42618018828.
2. How to calculate the LCM of 973, 298, 786, 748, 131?
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 973, 298, 786, 748, 131.
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}.