Least Common Multiple of 610/84, 6794/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 610/84, 6794/558 quickly i.e. 2072170/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/84, 6794/558 is 2072170/6.

LCM(610/84, 6794/558) = 2072170/6

LCM of 610/84, 6794/558

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 610/84,6794/558

Given numbers are 610/84,6794/558

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 610,6794

Least Common Multiple of Numerators i.e. LCM of 610,6794 is 2072170.

GCF of Denominators means GCF of 84,558 as per the given fractions.

GCF of 84,558 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,6794

LCM of Fractions 610/84,6794/558 is 2072170/6

2 610, 6794
305, 3397

∴ So the LCM of the given numbers is 2 x 305 x 3397 = 2072170

Least Common Multiple of 610,6794 with GCF Formula

Least Common Multiple of 610,6794 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 610,6794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,6794) = 2

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

GCF(610,6794) x common factors =2 x 1 = 2

LCM(610,6794) = ( 610 × 6794 ) / 2

LCM(610,6794) = 4144340 / 2

LCM(610,6794) = 2072170


Lets's calculate GCF of 84,558

2 84, 558
3 42, 279
14, 93

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2072170/6

Therefore the LCM of Fractions 610/84,6794/558 is 2072170/6

Greatest Common Factor of 84,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,558 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 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 84,558 . The biggest common factor number is the GCF number.
So the greatest common factor 84,558 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 610/84, 6794/558

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 610/84, 6794/558?

Answer: LCM of Numerators as per given numbers 610/84, 6794/558 is

LCM of Numerators i.e. for 610,6794 is 2072170

GCF of denominators i.e. for 84,558 is 6.

Thus, LCM of Fractions is 2072170/6.Finally, LCM of Fractions for 610/84, 6794/558 is 2072170/6.