LCM for 90 and 990
What's the Least Common Multiple (LCM) of 90 and 990?
(Nine hundred ninety)
Finding LCM for 90 and 990 using GCF's of these numbers
The first method to find LCM for numbers 90 and 990 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 990 is 90, so
LCM = (90 × 990) ÷ 90
LCM = 89100 ÷ 90
LCM = 990
Finding LCM for 90 and 990 by Listing Multiples
The second method to find LCM for numbers 90 and 990 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 990: 990, 1980, 2970, 3960, 4950, 5940, 6930, 7920, 8910, 9900, 10890, 11880, 12870, [...], 990
So the LCM for 90 and 990 is 990
Finding LCM for 90 and 990 by Prime Factorization
Another method to find LCM for numbers 90 and 990 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 990: 2, 3, 3, 5, 11 (exponent form: 21, 32, 51, 111)
21 × 32 × 51 × 111 = 990
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
75 | 990 | 4950 |
76 | 990 | 37620 |
77 | 990 | 6930 |
78 | 990 | 12870 |
79 | 990 | 78210 |
80 | 990 | 7920 |
81 | 990 | 8910 |
82 | 990 | 40590 |
83 | 990 | 82170 |
84 | 990 | 13860 |
85 | 990 | 16830 |
86 | 990 | 42570 |
87 | 990 | 28710 |
88 | 990 | 3960 |
89 | 990 | 88110 |
90 | 990 | 990 |
91 | 990 | 90090 |
92 | 990 | 45540 |
93 | 990 | 30690 |
94 | 990 | 46530 |
95 | 990 | 18810 |
96 | 990 | 15840 |
97 | 990 | 96030 |
98 | 990 | 48510 |
99 | 990 | 990 |
100 | 990 | 9900 |
101 | 990 | 99990 |
102 | 990 | 16830 |
103 | 990 | 101970 |
104 | 990 | 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