LCM for 90 and 495
What's the Least Common Multiple (LCM) of 90 and 495?
(Nine hundred ninety)
Finding LCM for 90 and 495 using GCF's of these numbers
The first method to find LCM for numbers 90 and 495 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 495 is 45, so
LCM = (90 × 495) ÷ 45
LCM = 44550 ÷ 45
LCM = 990
Finding LCM for 90 and 495 by Listing Multiples
The second method to find LCM for numbers 90 and 495 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170
Multiples of 495: 495, 990, 1485, 1980
So the LCM for 90 and 495 is 990
Finding LCM for 90 and 495 by Prime Factorization
Another method to find LCM for numbers 90 and 495 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
All Prime Factors of 495: 3, 3, 5, 11 (exponent form: 32, 51, 111)
21 × 32 × 51 × 111 = 990
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
75 | 495 | 2475 |
76 | 495 | 37620 |
77 | 495 | 3465 |
78 | 495 | 12870 |
79 | 495 | 39105 |
80 | 495 | 7920 |
81 | 495 | 4455 |
82 | 495 | 40590 |
83 | 495 | 41085 |
84 | 495 | 13860 |
85 | 495 | 8415 |
86 | 495 | 42570 |
87 | 495 | 14355 |
88 | 495 | 3960 |
89 | 495 | 44055 |
90 | 495 | 990 |
91 | 495 | 45045 |
92 | 495 | 45540 |
93 | 495 | 15345 |
94 | 495 | 46530 |
95 | 495 | 9405 |
96 | 495 | 15840 |
97 | 495 | 48015 |
98 | 495 | 48510 |
99 | 495 | 495 |
100 | 495 | 9900 |
101 | 495 | 49995 |
102 | 495 | 16830 |
103 | 495 | 50985 |
104 | 495 | 51480 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers