Least Common Multiple of 68/38, 63/782, 140/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/38, 63/782, 140/304 quickly i.e. 10710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/38, 63/782, 140/304 is 10710.

LCM(68/38, 63/782, 140/304) = 10710

LCM of 68/38, 63/782, 140/304

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 68/38,63/782,140/304

Given numbers are 68/38,63/782,140/304

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 68,63,140

Least Common Multiple of Numerators i.e. LCM of 68,63,140 is 21420.

GCF of Denominators means GCF of 38,782,304 as per the given fractions.

GCF of 38,782,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,63,140

LCM of Fractions 68/38,63/782,140/304 is 10710

2 68, 63, 140
2 34, 63, 70
7 17, 63, 35
17, 9, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 9 x 5 = 21420

Least Common Multiple of 68,63,140 with GCF Formula

Least Common Multiple of 68,63,140 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 68,63,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,63,140) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(68,63,140) x common factors =1 x 28 = 28

LCM(68,63,140) = ( 68 × 63 × 140 ) / 28

LCM(68,63,140) = 599760 / 28

LCM(68,63,140) = 21420


Lets's calculate GCF of 38,782,304

2 38, 782, 304
19, 391, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/2

Therefore the LCM of Fractions 68/38,63/782,140/304 is 10710

Greatest Common Factor of 38,782,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,782,304 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 38,782,304 . The biggest common factor number is the GCF number.
So the greatest common factor 38,782,304 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 68/38, 63/782, 140/304

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 68/38, 63/782, 140/304?

Answer: LCM of Numerators as per given numbers 68/38, 63/782, 140/304 is

LCM of Numerators i.e. for 68,63,140 is 21420

GCF of denominators i.e. for 38,782,304 is 2.

Thus, LCM of Fractions is 10710.Finally, LCM of Fractions for 68/38, 63/782, 140/304 is 10710.