LCM for 228 and 380
What's the Least Common Multiple (LCM) of 228 and 380?
(One thousand, one hundred forty)
Finding LCM for 228 and 380 using GCF's of these numbers
The first method to find LCM for numbers 228 and 380 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 228 and 380 is 76, so
LCM = (228 × 380) ÷ 76
LCM = 86640 ÷ 76
LCM = 1140
Finding LCM for 228 and 380 by Listing Multiples
The second method to find LCM for numbers 228 and 380 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 228: 228, 456, 684, 912, 1140, 1368, 1596
Multiples of 380: 380, 760, 1140, 1520, 1900
So the LCM for 228 and 380 is 1140
Finding LCM for 228 and 380 by Prime Factorization
Another method to find LCM for numbers 228 and 380 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 228: 2, 2, 3, 19 (exponent form: 22, 31, 191)
All Prime Factors of 380: 2, 2, 5, 19 (exponent form: 22, 51, 191)
22 × 31 × 191 × 51 = 1140
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
213 | 380 | 80940 |
214 | 380 | 40660 |
215 | 380 | 16340 |
216 | 380 | 20520 |
217 | 380 | 82460 |
218 | 380 | 41420 |
219 | 380 | 83220 |
220 | 380 | 4180 |
221 | 380 | 83980 |
222 | 380 | 42180 |
223 | 380 | 84740 |
224 | 380 | 21280 |
225 | 380 | 17100 |
226 | 380 | 42940 |
227 | 380 | 86260 |
228 | 380 | 1140 |
229 | 380 | 87020 |
230 | 380 | 8740 |
231 | 380 | 87780 |
232 | 380 | 22040 |
233 | 380 | 88540 |
234 | 380 | 44460 |
235 | 380 | 17860 |
236 | 380 | 22420 |
237 | 380 | 90060 |
238 | 380 | 45220 |
239 | 380 | 90820 |
240 | 380 | 4560 |
241 | 380 | 91580 |
242 | 380 | 45980 |
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