Least Common Multiple of 1651/676, 7692/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1651/676, 7692/466 quickly i.e. 6349746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1651/676, 7692/466 is 6349746.

LCM(1651/676, 7692/466) = 6349746

LCM of 1651/676, 7692/466

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 1651/676,7692/466

Given numbers are 1651/676,7692/466

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 1651,7692

Least Common Multiple of Numerators i.e. LCM of 1651,7692 is 12699492.

GCF of Denominators means GCF of 676,466 as per the given fractions.

GCF of 676,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1651,7692

LCM of Fractions 1651/676,7692/466 is 6349746

Given numbers has no common factors except 1. So, there LCM is their product i.e 12699492

Least Common Multiple of 1651,7692 with GCF Formula

Least Common Multiple of 1651,7692 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 1651,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1651,7692) = 1

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

GCF(1651,7692) x common factors =1 x 1 = 1

LCM(1651,7692) = ( 1651 × 7692 ) / 1

LCM(1651,7692) = 12699492 / 1

LCM(1651,7692) = 12699492


Lets's calculate GCF of 676,466

2 676, 466
338, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12699492/2

Therefore the LCM of Fractions 1651/676,7692/466 is 6349746

Greatest Common Factor of 676,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,466 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 676,466 . The biggest common factor number is the GCF number.
So the greatest common factor 676,466 is 2.


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 1651/676, 7692/466

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 1651/676, 7692/466?

Answer: LCM of Numerators as per given numbers 1651/676, 7692/466 is

LCM of Numerators i.e. for 1651,7692 is 12699492

GCF of denominators i.e. for 676,466 is 2.

Thus, LCM of Fractions is 6349746.Finally, LCM of Fractions for 1651/676, 7692/466 is 6349746.