Least Common Multiple of 834/276, 4858/7041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 834/276, 4858/7041 quickly i.e. 675262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/276, 4858/7041 is 675262.

LCM(834/276, 4858/7041) = 675262

LCM of 834/276, 4858/7041

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 834/276,4858/7041

Given numbers are 834/276,4858/7041

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 834,4858

Least Common Multiple of Numerators i.e. LCM of 834,4858 is 2025786.

GCF of Denominators means GCF of 276,7041 as per the given fractions.

GCF of 276,7041 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,4858

LCM of Fractions 834/276,4858/7041 is 675262

2 834, 4858
417, 2429

∴ So the LCM of the given numbers is 2 x 417 x 2429 = 2025786

Least Common Multiple of 834,4858 with GCF Formula

Least Common Multiple of 834,4858 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 834,4858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,4858) = 2

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

GCF(834,4858) x common factors =2 x 1 = 2

LCM(834,4858) = ( 834 × 4858 ) / 2

LCM(834,4858) = 4051572 / 2

LCM(834,4858) = 2025786


Lets's calculate GCF of 276,7041

3 276, 7041
92, 2347

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2025786/3

Therefore the LCM of Fractions 834/276,4858/7041 is 675262

Greatest Common Factor of 276,7041 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,7041 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 7041

List of positive integer factors of 7041 that divides 7041 without a remainder.

1,3,2347,7041

Greatest Common Factor

We found the factors 276,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 276,7041 is 3.


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Frequently Asked Questions on Fractional LCM of 834/276, 4858/7041

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 834/276, 4858/7041?

Answer: LCM of Numerators as per given numbers 834/276, 4858/7041 is

LCM of Numerators i.e. for 834,4858 is 2025786

GCF of denominators i.e. for 276,7041 is 3.

Thus, LCM of Fractions is 675262.Finally, LCM of Fractions for 834/276, 4858/7041 is 675262.