LCM for 120 and 150
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 120 and 150?
(Six hundred)
Finding LCM for 120 and 150 using GCF's of these numbers
The first method to find LCM for numbers 120 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 120 and 150 is 30, so
LCM = (120 × 150) ÷ 30
LCM = 18000 ÷ 30
LCM = 600
Finding LCM for 120 and 150 by Listing Multiples
The second method to find LCM for numbers 120 and 150 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 120: 120, 240, 360, 480, 600, 720, 840
Multiples of 150: 150, 300, 450, 600, 750, 900
So the LCM for 120 and 150 is 600
Finding LCM for 120 and 150 by Prime Factorization
Another method to find LCM for numbers 120 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)
All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)
23 × 31 × 52 = 600
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 |
---|---|---|
105 | 150 | 1050 |
106 | 150 | 7950 |
107 | 150 | 16050 |
108 | 150 | 2700 |
109 | 150 | 16350 |
110 | 150 | 1650 |
111 | 150 | 5550 |
112 | 150 | 8400 |
113 | 150 | 16950 |
114 | 150 | 2850 |
115 | 150 | 3450 |
116 | 150 | 8700 |
117 | 150 | 5850 |
118 | 150 | 8850 |
119 | 150 | 17850 |
120 | 150 | 600 |
121 | 150 | 18150 |
122 | 150 | 9150 |
123 | 150 | 6150 |
124 | 150 | 9300 |
125 | 150 | 750 |
126 | 150 | 3150 |
127 | 150 | 19050 |
128 | 150 | 9600 |
129 | 150 | 6450 |
130 | 150 | 1950 |
131 | 150 | 19650 |
132 | 150 | 3300 |
133 | 150 | 19950 |
134 | 150 | 10050 |
FAQ
What's the Least Common Multiple (LCM) of 120 and 150?
See Also
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- Наименьшее общее кратное 120 и 150