Least Common Multiple of 674/46, 276/54, 726/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/46, 276/54, 726/986 quickly i.e. 5627226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/46, 276/54, 726/986 is 5627226.

LCM(674/46, 276/54, 726/986) = 5627226

LCM of 674/46, 276/54, 726/986

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 674/46,276/54,726/986

Given numbers are 674/46,276/54,726/986

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 674,276,726

Least Common Multiple of Numerators i.e. LCM of 674,276,726 is 11254452.

GCF of Denominators means GCF of 46,54,986 as per the given fractions.

GCF of 46,54,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,276,726

LCM of Fractions 674/46,276/54,726/986 is 5627226

2 674, 276, 726
3 337, 138, 363
337, 46, 121

∴ So the LCM of the given numbers is 2 x 3 x 337 x 46 x 121 = 11254452

Least Common Multiple of 674,276,726 with GCF Formula

Least Common Multiple of 674,276,726 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 674,276,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,276,726) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(674,276,726) x common factors =2 x 6 = 12

LCM(674,276,726) = ( 674 × 276 × 726 ) / 12

LCM(674,276,726) = 135053424 / 12

LCM(674,276,726) = 11254452


Lets's calculate GCF of 46,54,986

2 46, 54, 986
23, 27, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11254452/2

Therefore the LCM of Fractions 674/46,276/54,726/986 is 5627226

Greatest Common Factor of 46,54,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,54,986 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 46,54,986 . The biggest common factor number is the GCF number.
So the greatest common factor 46,54,986 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 674/46, 276/54, 726/986

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 674/46, 276/54, 726/986?

Answer: LCM of Numerators as per given numbers 674/46, 276/54, 726/986 is

LCM of Numerators i.e. for 674,276,726 is 11254452

GCF of denominators i.e. for 46,54,986 is 2.

Thus, LCM of Fractions is 5627226.Finally, LCM of Fractions for 674/46, 276/54, 726/986 is 5627226.