LCM for 60 and 450
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 60 and 450?
(Nine hundred)
Finding LCM for 60 and 450 using GCF's of these numbers
The first method to find LCM for numbers 60 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 450 is 30, so
LCM = (60 × 450) ÷ 30
LCM = 27000 ÷ 30
LCM = 900
Finding LCM for 60 and 450 by Listing Multiples
The second method to find LCM for numbers 60 and 450 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020
Multiples of 450: 450, 900, 1350, 1800
So the LCM for 60 and 450 is 900
Finding LCM for 60 and 450 by Prime Factorization
Another method to find LCM for numbers 60 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 450: 2, 3, 3, 5, 5 (exponent form: 21, 32, 52)
22 × 32 × 52 = 900
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
45 | 450 | 450 |
46 | 450 | 10350 |
47 | 450 | 21150 |
48 | 450 | 3600 |
49 | 450 | 22050 |
50 | 450 | 450 |
51 | 450 | 7650 |
52 | 450 | 11700 |
53 | 450 | 23850 |
54 | 450 | 1350 |
55 | 450 | 4950 |
56 | 450 | 12600 |
57 | 450 | 8550 |
58 | 450 | 13050 |
59 | 450 | 26550 |
60 | 450 | 900 |
61 | 450 | 27450 |
62 | 450 | 13950 |
63 | 450 | 3150 |
64 | 450 | 14400 |
65 | 450 | 5850 |
66 | 450 | 4950 |
67 | 450 | 30150 |
68 | 450 | 15300 |
69 | 450 | 10350 |
70 | 450 | 3150 |
71 | 450 | 31950 |
72 | 450 | 1800 |
73 | 450 | 32850 |
74 | 450 | 16650 |
FAQ
What's the Least Common Multiple (LCM) of 60 and 450?
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- Наименьшее общее кратное 60 и 450