LCM of 375, 967, 765, 978, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 967, 765, 978, 760 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 375, 967, 765, 978, 760. So, keep reading to learn more.
Given numbers are 375,967,765,978,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,967,765,978,760 is 458204247000.
Find LCM of 375,967,765,978,760 with Prime Factorization
| 2 | 375, 967, 765, 978, 760 |
| 3 | 375, 967, 765, 489, 380 |
| 5 | 125, 967, 255, 163, 380 |
| 25, 967, 51, 163, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 25 x 967 x 51 x 163 x 76 = 458204247000
Therefore, the lowest common multiple of 375,967,765,978,760 is 458204247000.
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.
375 x 967 x 765 x 978 x 760 = 206191911150000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
967 : 1, 967
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
978 : 1, 2, 3, 6, 163, 326, 489, 978
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,967,765,978,760, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
967:967
765:3x 3x 5x 17
978:2x 3x 163
760:2x 2x 2x 5x 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 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 206191911150000/(1x450)
LCM = 206191911150000/450
LCM = 458204247000
Thus, we can understand that the LCM of 375,967,765,978,760 is 458204247000.
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FAQs on LCM of 375, 967, 765, 978, 760
1. What is the LCM of 375, 967, 765, 978, 760?
Answer: LCM of 375, 967, 765, 978, 760 is 458204247000.
2. How to calculate the LCM of 375, 967, 765, 978, 760?
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 375, 967, 765, 978, 760.
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}.