Least Common Multiple of 49/920, 726/574, 175/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/920, 726/574, 175/281 quickly i.e. 889350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/920, 726/574, 175/281 is 889350.

LCM(49/920, 726/574, 175/281) = 889350

LCM of 49/920, 726/574, 175/281

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 49/920,726/574,175/281

Given numbers are 49/920,726/574,175/281

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 49,726,175

Least Common Multiple of Numerators i.e. LCM of 49,726,175 is 889350.

GCF of Denominators means GCF of 920,574,281 as per the given fractions.

GCF of 920,574,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,726,175

LCM of Fractions 49/920,726/574,175/281 is 889350

7 49, 726, 175
7, 726, 25

∴ So the LCM of the given numbers is 7 x 7 x 726 x 25 = 889350

Least Common Multiple of 49,726,175 with GCF Formula

Least Common Multiple of 49,726,175 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 49,726,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,726,175) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,726,175) x common factors =1 x 7 = 7

LCM(49,726,175) = ( 49 × 726 × 175 ) / 7

LCM(49,726,175) = 6225450 / 7

LCM(49,726,175) = 889350


Lets's calculate GCF of 920,574,281

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 889350/1

Therefore the LCM of Fractions 49/920,726/574,175/281 is 889350

Greatest Common Factor of 920,574,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,574,281 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 920,574,281 . The biggest common factor number is the GCF number.
So the greatest common factor 920,574,281 is 1.


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 49/920, 726/574, 175/281

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 49/920, 726/574, 175/281?

Answer: LCM of Numerators as per given numbers 49/920, 726/574, 175/281 is

LCM of Numerators i.e. for 49,726,175 is 889350

GCF of denominators i.e. for 920,574,281 is 1.

Thus, LCM of Fractions is 889350.Finally, LCM of Fractions for 49/920, 726/574, 175/281 is 889350.