Least Common Multiple of 20/123, 74/280, 802/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/123, 74/280, 802/126 quickly i.e. 296740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/123, 74/280, 802/126 is 296740.

LCM(20/123, 74/280, 802/126) = 296740

LCM of 20/123, 74/280, 802/126

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 20/123,74/280,802/126

Given numbers are 20/123,74/280,802/126

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 20,74,802

Least Common Multiple of Numerators i.e. LCM of 20,74,802 is 296740.

GCF of Denominators means GCF of 123,280,126 as per the given fractions.

GCF of 123,280,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,74,802

LCM of Fractions 20/123,74/280,802/126 is 296740

2 20, 74, 802
10, 37, 401

∴ So the LCM of the given numbers is 2 x 10 x 37 x 401 = 296740

Least Common Multiple of 20,74,802 with GCF Formula

Least Common Multiple of 20,74,802 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 20,74,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,74,802) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(20,74,802) x common factors =2 x 2 = 4

LCM(20,74,802) = ( 20 × 74 × 802 ) / 4

LCM(20,74,802) = 1186960 / 4

LCM(20,74,802) = 296740


Lets's calculate GCF of 123,280,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296740/1

Therefore the LCM of Fractions 20/123,74/280,802/126 is 296740

Greatest Common Factor of 123,280,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,280,126 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 123,280,126 . The biggest common factor number is the GCF number.
So the greatest common factor 123,280,126 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 20/123, 74/280, 802/126

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 20/123, 74/280, 802/126?

Answer: LCM of Numerators as per given numbers 20/123, 74/280, 802/126 is

LCM of Numerators i.e. for 20,74,802 is 296740

GCF of denominators i.e. for 123,280,126 is 1.

Thus, LCM of Fractions is 296740.Finally, LCM of Fractions for 20/123, 74/280, 802/126 is 296740.