LCM for 8 and 49

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 49?

Answer

LCM of 8 and 49 is 392

(Three hundred ninety-two)

Finding LCM for 8 and 49 using GCF of these numbers

The first method to find LCM for numbers 8 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 49 is 1, so

LCM = (8 × 49) ÷ 1

LCM = 392 ÷ 1

LCM = 392

Finding LCM for 8 and 49 by Listing Multiples

The second method to find LCM for numbers 8 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490

So the LCM for 8 and 49 is 392

Finding LCM for 8 and 49 by Prime Factorization

Another method to find LCM for numbers 8 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 49: 7, 7 (exponent form: 72)

23 × 72 = 392

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 8 and 49? (The answer is: 392). Select the first number (e.g. '8') and the second number (e.g. '49'). After that hit the 'Calculate' button.
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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
14949
24998
349147
449196
549245
649294
74949
849392
949441
1049490
1149539
1249588
1349637
144998
1549735
1649784
1749833
1849882
1949931
2049980
2149147
22491078
23491127
24491176
25491225
26491274
27491323
2849196
29491421
30491470

FAQ

What's the Least Common Multiple (LCM) of 8 and 49?

LCM of 8 and 49 is 392

How to find the LCM of 8 and 49 using prime factorization?

To find the LCM of 8 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 392.

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 8 and 49: LCM = 392, GCF = 1.

See Also