Least Common Multiple of 649/142, 2862/1530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/142, 2862/1530 quickly i.e. 928719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/142, 2862/1530 is 928719.

LCM(649/142, 2862/1530) = 928719

LCM of 649/142, 2862/1530

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 649/142,2862/1530

Given numbers are 649/142,2862/1530

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 649,2862

Least Common Multiple of Numerators i.e. LCM of 649,2862 is 1857438.

GCF of Denominators means GCF of 142,1530 as per the given fractions.

GCF of 142,1530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,2862

LCM of Fractions 649/142,2862/1530 is 928719

Given numbers has no common factors except 1. So, there LCM is their product i.e 1857438

Least Common Multiple of 649,2862 with GCF Formula

Least Common Multiple of 649,2862 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 649,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,2862) = 1

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

GCF(649,2862) x common factors =1 x 1 = 1

LCM(649,2862) = ( 649 × 2862 ) / 1

LCM(649,2862) = 1857438 / 1

LCM(649,2862) = 1857438


Lets's calculate GCF of 142,1530

2 142, 1530
71, 765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1857438/2

Therefore the LCM of Fractions 649/142,2862/1530 is 928719

Greatest Common Factor of 142,1530 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,1530 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530

Greatest Common Factor

We found the factors 142,1530 . The biggest common factor number is the GCF number.
So the greatest common factor 142,1530 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 649/142, 2862/1530

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 649/142, 2862/1530?

Answer: LCM of Numerators as per given numbers 649/142, 2862/1530 is

LCM of Numerators i.e. for 649,2862 is 1857438

GCF of denominators i.e. for 142,1530 is 2.

Thus, LCM of Fractions is 928719.Finally, LCM of Fractions for 649/142, 2862/1530 is 928719.