Least Common Multiple of 1674/91, 4306/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1674/91, 4306/546 quickly i.e. 3604122/91 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1674/91, 4306/546 is 3604122/91.

LCM(1674/91, 4306/546) = 3604122/91

LCM of 1674/91, 4306/546

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 1674/91,4306/546

Given numbers are 1674/91,4306/546

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 1674,4306

Least Common Multiple of Numerators i.e. LCM of 1674,4306 is 3604122.

GCF of Denominators means GCF of 91,546 as per the given fractions.

GCF of 91,546 is 91 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1674,4306

LCM of Fractions 1674/91,4306/546 is 3604122/91

2 1674, 4306
837, 2153

∴ So the LCM of the given numbers is 2 x 837 x 2153 = 3604122

Least Common Multiple of 1674,4306 with GCF Formula

Least Common Multiple of 1674,4306 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 1674,4306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1674,4306) = 2

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

GCF(1674,4306) x common factors =2 x 1 = 2

LCM(1674,4306) = ( 1674 × 4306 ) / 2

LCM(1674,4306) = 7208244 / 2

LCM(1674,4306) = 3604122


Lets's calculate GCF of 91,546

7 91, 546
13 13, 78
1, 6

∴ So the GCF of the given numbers is 7 x 13 = 91

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3604122/91

Therefore the LCM of Fractions 1674/91,4306/546 is 3604122/91

Greatest Common Factor of 91,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,546 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 91,546 . The biggest common factor number is the GCF number.
So the greatest common factor 91,546 is 91.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1674/91, 4306/546

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 1674/91, 4306/546?

Answer: LCM of Numerators as per given numbers 1674/91, 4306/546 is

LCM of Numerators i.e. for 1674,4306 is 3604122

GCF of denominators i.e. for 91,546 is 91.

Thus, LCM of Fractions is 3604122/91.Finally, LCM of Fractions for 1674/91, 4306/546 is 3604122/91.