Least Common Multiple of 526/84, 128/2125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 526/84, 128/2125 quickly i.e. 33664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/84, 128/2125 is 33664.

LCM(526/84, 128/2125) = 33664

LCM of 526/84, 128/2125

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 526/84,128/2125

Given numbers are 526/84,128/2125

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 526,128

Least Common Multiple of Numerators i.e. LCM of 526,128 is 33664.

GCF of Denominators means GCF of 84,2125 as per the given fractions.

GCF of 84,2125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,128

LCM of Fractions 526/84,128/2125 is 33664

2 526, 128
263, 64

∴ So the LCM of the given numbers is 2 x 263 x 64 = 33664

Least Common Multiple of 526,128 with GCF Formula

Least Common Multiple of 526,128 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 526,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,128) = 2

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

GCF(526,128) x common factors =2 x 1 = 2

LCM(526,128) = ( 526 × 128 ) / 2

LCM(526,128) = 67328 / 2

LCM(526,128) = 33664


Lets's calculate GCF of 84,2125

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33664/1

Therefore the LCM of Fractions 526/84,128/2125 is 33664

Greatest Common Factor of 84,2125 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,2125 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 2125

List of positive integer factors of 2125 that divides 2125 without a remainder.

1,5,17,25,85,125,425,2125

Greatest Common Factor

We found the factors 84,2125 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 526/84, 128/2125

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 526/84, 128/2125?

Answer: LCM of Numerators as per given numbers 526/84, 128/2125 is

LCM of Numerators i.e. for 526,128 is 33664

GCF of denominators i.e. for 84,2125 is 1.

Thus, LCM of Fractions is 33664.Finally, LCM of Fractions for 526/84, 128/2125 is 33664.