Least Common Multiple of 1448/840, 4962/8542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1448/840, 4962/8542 quickly i.e. 1796244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1448/840, 4962/8542 is 1796244.

LCM(1448/840, 4962/8542) = 1796244

LCM of 1448/840, 4962/8542

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 1448/840,4962/8542

Given numbers are 1448/840,4962/8542

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 1448,4962

Least Common Multiple of Numerators i.e. LCM of 1448,4962 is 3592488.

GCF of Denominators means GCF of 840,8542 as per the given fractions.

GCF of 840,8542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1448,4962

LCM of Fractions 1448/840,4962/8542 is 1796244

2 1448, 4962
724, 2481

∴ So the LCM of the given numbers is 2 x 724 x 2481 = 3592488

Least Common Multiple of 1448,4962 with GCF Formula

Least Common Multiple of 1448,4962 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 1448,4962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1448,4962) = 2

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

GCF(1448,4962) x common factors =2 x 1 = 2

LCM(1448,4962) = ( 1448 × 4962 ) / 2

LCM(1448,4962) = 7184976 / 2

LCM(1448,4962) = 3592488


Lets's calculate GCF of 840,8542

2 840, 8542
420, 4271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3592488/2

Therefore the LCM of Fractions 1448/840,4962/8542 is 1796244

Greatest Common Factor of 840,8542 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,8542 By Matching Biggest Common Factor Method

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

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1,2,4271,8542

Greatest Common Factor

We found the factors 840,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 840,8542 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 1448/840, 4962/8542

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 1448/840, 4962/8542?

Answer: LCM of Numerators as per given numbers 1448/840, 4962/8542 is

LCM of Numerators i.e. for 1448,4962 is 3592488

GCF of denominators i.e. for 840,8542 is 2.

Thus, LCM of Fractions is 1796244.Finally, LCM of Fractions for 1448/840, 4962/8542 is 1796244.