LCM for 175 and 400
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 175 and 400?
(Two thousand, eight hundred)
Finding LCM for 175 and 400 using GCF's of these numbers
The first method to find LCM for numbers 175 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 175 and 400 is 25, so
LCM = (175 × 400) ÷ 25
LCM = 70000 ÷ 25
LCM = 2800
Finding LCM for 175 and 400 by Listing Multiples
The second method to find LCM for numbers 175 and 400 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 175: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750, 1925, 2100, 2275, 2450, 2625, 2800, 2975, 3150
Multiples of 400: 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600
So the LCM for 175 and 400 is 2800
Finding LCM for 175 and 400 by Prime Factorization
Another method to find LCM for numbers 175 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)
All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)
52 × 71 × 24 = 2800
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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 |
---|---|---|
160 | 400 | 800 |
161 | 400 | 64400 |
162 | 400 | 32400 |
163 | 400 | 65200 |
164 | 400 | 16400 |
165 | 400 | 13200 |
166 | 400 | 33200 |
167 | 400 | 66800 |
168 | 400 | 8400 |
169 | 400 | 67600 |
170 | 400 | 6800 |
171 | 400 | 68400 |
172 | 400 | 17200 |
173 | 400 | 69200 |
174 | 400 | 34800 |
175 | 400 | 2800 |
176 | 400 | 4400 |
177 | 400 | 70800 |
178 | 400 | 35600 |
179 | 400 | 71600 |
180 | 400 | 3600 |
181 | 400 | 72400 |
182 | 400 | 36400 |
183 | 400 | 73200 |
184 | 400 | 9200 |
185 | 400 | 14800 |
186 | 400 | 37200 |
187 | 400 | 74800 |
188 | 400 | 18800 |
189 | 400 | 75600 |
FAQ
What's the Least Common Multiple (LCM) of 175 and 400?
See Also
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- Наименьшее общее кратное 175 и 400