LCM for 3 and 49
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What's the Least Common Multiple (LCM) of 3 and 49?
Answer
LCM of 3 and 49 is
147
First common multiples: 147, 294, 441, …
147 is divisible by both: 147 ÷ 3 = 49, 147 ÷ 49 = 3 — and 49 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 49 and of y/49 by 3.
3 and 49 are coprime (GCF = 1), so their LCM is simply the product: 3 × 49 = 147.
3 — prime
49 = 72
| Prime | 3 | 49 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 7 | — | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 72 = 147
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 3 and 49?
LCM of 3 and 49 is 147
How to find the LCM of 3 and 49 using prime factorization?
To find the LCM of 3 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 147.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 3 and 49: LCM = 147, GCF = 1.
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