LCM of 735, 375, 825, 679, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 375, 825, 679, 253 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 735, 375, 825, 679, 253. So, keep reading to learn more.
Given numbers are 735,375,825,679,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,375,825,679,253 is 450940875.
Find LCM of 735,375,825,679,253 with Prime Factorization
| 3 | 735, 375, 825, 679, 253 |
| 5 | 245, 125, 275, 679, 253 |
| 5 | 49, 25, 55, 679, 253 |
| 7 | 49, 5, 11, 679, 253 |
| 11 | 7, 5, 11, 97, 253 |
| 7, 5, 1, 97, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 11 x 7 x 5 x 1 x 97 x 23 = 450940875
Therefore, the lowest common multiple of 735,375,825,679,253 is 450940875.
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.
735 x 375 x 825 x 679 x 253 = 39062753296875
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
375 : 1, 3, 5, 15, 25, 75, 125, 375
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
679 : 1, 7, 97, 679
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,375,825,679,253, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
375:3x 5x 5x 5
825:3x 5x 5x 11
679:7x 97
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 5x 7x 11 = 86625
Therefore, the value for common factors is 86625.
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 = 39062753296875/(1x86625)
LCM = 39062753296875/86625
LCM = 450940875
Thus, we can understand that the LCM of 735,375,825,679,253 is 450940875.
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FAQs on LCM of 735, 375, 825, 679, 253
1. What is the LCM of 735, 375, 825, 679, 253?
Answer: LCM of 735, 375, 825, 679, 253 is 450940875.
2. How to calculate the LCM of 735, 375, 825, 679, 253?
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 735, 375, 825, 679, 253.
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}.