LCM of 359, 760, 472, 641, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 760, 472, 641, 354 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 359, 760, 472, 641, 354. So, keep reading to learn more.
Given numbers are 359,760,472,641,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,760,472,641,354 is 30955607880.
Find LCM of 359,760,472,641,354 with Prime Factorization
| 2 | 359, 760, 472, 641, 354 |
| 2 | 359, 380, 236, 641, 177 |
| 2 | 359, 190, 118, 641, 177 |
| 59 | 359, 95, 59, 641, 177 |
| 359, 95, 1, 641, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 59 x 359 x 95 x 1 x 641 x 3 = 30955607880
Therefore, the lowest common multiple of 359,760,472,641,354 is 30955607880.
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.
359 x 760 x 472 x 641 x 354 = 29222093838720
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.
359 : 1, 359
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
472 : 1, 2, 4, 8, 59, 118, 236, 472
641 : 1, 641
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,760,472,641,354, is 1.
Now, the common factors can be found like this.
359:359
760:2x 2x 2x 5x 19
472:2x 2x 2x 59
641:641
354:2x 3x 59
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 59 = 944
Therefore, the value for common factors is 944.
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 = 29222093838720/(1x944)
LCM = 29222093838720/944
LCM = 30955607880
Thus, we can understand that the LCM of 359,760,472,641,354 is 30955607880.
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FAQs on LCM of 359, 760, 472, 641, 354
1. What is the LCM of 359, 760, 472, 641, 354?
Answer: LCM of 359, 760, 472, 641, 354 is 30955607880.
2. How to calculate the LCM of 359, 760, 472, 641, 354?
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 359, 760, 472, 641, 354.
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}.