LCM of 972, 492, 574, 988, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 492, 574, 988, 334 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 972, 492, 574, 988, 334. So, keep reading to learn more.
Given numbers are 972,492,574,988,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,492,574,988,334 is 11506986036.
Find LCM of 972,492,574,988,334 with Prime Factorization
| 2 | 972, 492, 574, 988, 334 |
| 2 | 486, 246, 287, 494, 167 |
| 3 | 243, 123, 287, 247, 167 |
| 41 | 81, 41, 287, 247, 167 |
| 81, 1, 7, 247, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 81 x 1 x 7 x 247 x 167 = 11506986036
Therefore, the lowest common multiple of 972,492,574,988,334 is 11506986036.
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.
972 x 492 x 574 x 988 x 334 = 90582994075392
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
574 : 1, 2, 7, 14, 41, 82, 287, 574
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
334 : 1, 2, 167, 334
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,492,574,988,334, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
492:2x 2x 3x 41
574:2x 7x 41
988:2x 2x 13x 19
334:2x 167
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 2x 3x 41 = 3936
Therefore, the value for common factors is 3936.
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 = 90582994075392/(2x3936)
LCM = 90582994075392/7872
LCM = 11506986036
Thus, we can understand that the LCM of 972,492,574,988,334 is 11506986036.
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FAQs on LCM of 972, 492, 574, 988, 334
1. What is the LCM of 972, 492, 574, 988, 334?
Answer: LCM of 972, 492, 574, 988, 334 is 11506986036.
2. How to calculate the LCM of 972, 492, 574, 988, 334?
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 972, 492, 574, 988, 334.
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}.