Least Common Multiple of 1344/742, 2901/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1344/742, 2901/840 quickly i.e. 92832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1344/742, 2901/840 is 92832.

LCM(1344/742, 2901/840) = 92832

LCM of 1344/742, 2901/840

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 1344/742,2901/840

Given numbers are 1344/742,2901/840

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 1344,2901

Least Common Multiple of Numerators i.e. LCM of 1344,2901 is 1299648.

GCF of Denominators means GCF of 742,840 as per the given fractions.

GCF of 742,840 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1344,2901

LCM of Fractions 1344/742,2901/840 is 92832

3 1344, 2901
448, 967

∴ So the LCM of the given numbers is 3 x 448 x 967 = 1299648

Least Common Multiple of 1344,2901 with GCF Formula

Least Common Multiple of 1344,2901 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 1344,2901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1344,2901) = 3

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

GCF(1344,2901) x common factors =3 x 1 = 3

LCM(1344,2901) = ( 1344 × 2901 ) / 3

LCM(1344,2901) = 3898944 / 3

LCM(1344,2901) = 1299648


Lets's calculate GCF of 742,840

2 742, 840
7 371, 420
53, 60

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1299648/14

Therefore the LCM of Fractions 1344/742,2901/840 is 92832

Greatest Common Factor of 742,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,840 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 742,840 . The biggest common factor number is the GCF number.
So the greatest common factor 742,840 is 14.


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 1344/742, 2901/840

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 1344/742, 2901/840?

Answer: LCM of Numerators as per given numbers 1344/742, 2901/840 is

LCM of Numerators i.e. for 1344,2901 is 1299648

GCF of denominators i.e. for 742,840 is 14.

Thus, LCM of Fractions is 92832.Finally, LCM of Fractions for 1344/742, 2901/840 is 92832.