Least Common Multiple of 1876/342, 2651/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1876/342, 2651/424 quickly i.e. 2486638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1876/342, 2651/424 is 2486638.

LCM(1876/342, 2651/424) = 2486638

LCM of 1876/342, 2651/424

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 1876/342,2651/424

Given numbers are 1876/342,2651/424

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 1876,2651

Least Common Multiple of Numerators i.e. LCM of 1876,2651 is 4973276.

GCF of Denominators means GCF of 342,424 as per the given fractions.

GCF of 342,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1876,2651

LCM of Fractions 1876/342,2651/424 is 2486638

Given numbers has no common factors except 1. So, there LCM is their product i.e 4973276

Least Common Multiple of 1876,2651 with GCF Formula

Least Common Multiple of 1876,2651 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 1876,2651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1876,2651) = 1

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

GCF(1876,2651) x common factors =1 x 1 = 1

LCM(1876,2651) = ( 1876 × 2651 ) / 1

LCM(1876,2651) = 4973276 / 1

LCM(1876,2651) = 4973276


Lets's calculate GCF of 342,424

2 342, 424
171, 212

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4973276/2

Therefore the LCM of Fractions 1876/342,2651/424 is 2486638

Greatest Common Factor of 342,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,424 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 342,424 . The biggest common factor number is the GCF number.
So the greatest common factor 342,424 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1876/342, 2651/424

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 1876/342, 2651/424?

Answer: LCM of Numerators as per given numbers 1876/342, 2651/424 is

LCM of Numerators i.e. for 1876,2651 is 4973276

GCF of denominators i.e. for 342,424 is 2.

Thus, LCM of Fractions is 2486638.Finally, LCM of Fractions for 1876/342, 2651/424 is 2486638.