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Least Common Multiple of 275/294, 625/784

Know Least Common Multiple of fractions 275/294, 625/784 quickly i.e. 6875/98 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/294, 625/784 is 6875/98.

LCM(275/294, 625/784) = 6875/98

LCM of 275/294, 625/784

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 275/294,625/784

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 275,625

Least Common Multiple of Numerators i.e. LCM of 275,625 is 6875.

GCF of Denominators means GCF of 294,784 as per the given fractions.

GCF of 294,784 is 98 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,625

Least Common Multiple (LCM) of 275,625 By Common Division

5 275, 625
5 55, 125
11, 25

∴ So the LCM of the given numbers is 5 x 5 x 11 x 25 = 6875

Least Common Multiple of 275,625 with GCF Formula

Least Common Multiple of 275,625 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 275,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,625) = 25

common factors(in case of two or more numbers have common factors) = 1

GCF(275,625) x common factors =25 x 1 = 25

LCM(275,625) = ( 275 × 625 ) / 25

LCM(275,625) = 171875 / 25

LCM(275,625) = 6875


Lets's calculate GCF of 294,784

Greatest Common Factor (GCF) of 294,784 By Common Division

2 294, 784
7 147, 392
7 21, 56
3, 8

∴ So the GCF of the given numbers is 2 x 7 x 7 = 98

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6875/98

Therefore the LCM of Fractions 275/294,625/784 is 6875/98

Greatest Common Factor of 294,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,784 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 294,784 . The biggest common factor number is the GCF number.
So the greatest common factor 294,784 is 98.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 275/294, 625/784

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 275/294, 625/784?

Answer: LCM of Numerators as per given numbers 275/294, 625/784 is

LCM of Numerators i.e. for 275,625 is 6875

GCF of denominators i.e. for 294,784 is 98.

Thus, LCM of Fractions is 6875/98.Finally, LCM of Fractions for 275/294, 625/784 is 6875/98.