LCM for 7 and 41
What's the Least Common Multiple (LCM) of 7 and 41?
Answer
(Two hundred eighty-seven)
Finding LCM for 7 and 41 using GCF of these numbers
The first method to find LCM for numbers 7 and 41 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 41 is 1, so
LCM = (7 × 41) ÷ 1
LCM = 287 ÷ 1
LCM = 287
Finding LCM for 7 and 41 by Listing Multiples
The second method to find LCM for numbers 7 and 41 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301
Multiples of 41: 41, 82, 123, 164, 205, 246, 287, 328, 369
So the LCM for 7 and 41 is 287
Finding LCM for 7 and 41 by Prime Factorization
Another method to find LCM for numbers 7 and 41 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 41: 41 (exponent form: 411)
71 × 411 = 287
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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LCM Table
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