Least Common Multiple of 640/786, 1462/2642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 640/786, 1462/2642 quickly i.e. 233920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 640/786, 1462/2642 is 233920.

LCM(640/786, 1462/2642) = 233920

LCM of 640/786, 1462/2642

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 640/786,1462/2642

Given numbers are 640/786,1462/2642

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 640,1462

Least Common Multiple of Numerators i.e. LCM of 640,1462 is 467840.

GCF of Denominators means GCF of 786,2642 as per the given fractions.

GCF of 786,2642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 640,1462

LCM of Fractions 640/786,1462/2642 is 233920

2 640, 1462
320, 731

∴ So the LCM of the given numbers is 2 x 320 x 731 = 467840

Least Common Multiple of 640,1462 with GCF Formula

Least Common Multiple of 640,1462 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 640,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,1462) = 2

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

GCF(640,1462) x common factors =2 x 1 = 2

LCM(640,1462) = ( 640 × 1462 ) / 2

LCM(640,1462) = 935680 / 2

LCM(640,1462) = 467840


Lets's calculate GCF of 786,2642

2 786, 2642
393, 1321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467840/2

Therefore the LCM of Fractions 640/786,1462/2642 is 233920

Greatest Common Factor of 786,2642 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,2642 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 2642

List of positive integer factors of 2642 that divides 2642 without a remainder.

1,2,1321,2642

Greatest Common Factor

We found the factors 786,2642 . The biggest common factor number is the GCF number.
So the greatest common factor 786,2642 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 640/786, 1462/2642

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 640/786, 1462/2642?

Answer: LCM of Numerators as per given numbers 640/786, 1462/2642 is

LCM of Numerators i.e. for 640,1462 is 467840

GCF of denominators i.e. for 786,2642 is 2.

Thus, LCM of Fractions is 233920.Finally, LCM of Fractions for 640/786, 1462/2642 is 233920.