Least Common Multiple of 77/140, 638/694, 978/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/140, 638/694, 978/726 quickly i.e. 1091937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/140, 638/694, 978/726 is 1091937.

LCM(77/140, 638/694, 978/726) = 1091937

LCM of 77/140, 638/694, 978/726

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 77/140,638/694,978/726

Given numbers are 77/140,638/694,978/726

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 77,638,978

Least Common Multiple of Numerators i.e. LCM of 77,638,978 is 2183874.

GCF of Denominators means GCF of 140,694,726 as per the given fractions.

GCF of 140,694,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,638,978

LCM of Fractions 77/140,638/694,978/726 is 1091937

2 77, 638, 978
11 77, 319, 489
7, 29, 489

∴ So the LCM of the given numbers is 2 x 11 x 7 x 29 x 489 = 2183874

Least Common Multiple of 77,638,978 with GCF Formula

Least Common Multiple of 77,638,978 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 77,638,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,638,978) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,638,978) x common factors =1 x 22 = 22

LCM(77,638,978) = ( 77 × 638 × 978 ) / 22

LCM(77,638,978) = 48045228 / 22

LCM(77,638,978) = 2183874


Lets's calculate GCF of 140,694,726

2 140, 694, 726
70, 347, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2183874/2

Therefore the LCM of Fractions 77/140,638/694,978/726 is 1091937

Greatest Common Factor of 140,694,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,694,726 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 140,694,726 . The biggest common factor number is the GCF number.
So the greatest common factor 140,694,726 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 77/140, 638/694, 978/726

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 77/140, 638/694, 978/726?

Answer: LCM of Numerators as per given numbers 77/140, 638/694, 978/726 is

LCM of Numerators i.e. for 77,638,978 is 2183874

GCF of denominators i.e. for 140,694,726 is 2.

Thus, LCM of Fractions is 1091937.Finally, LCM of Fractions for 77/140, 638/694, 978/726 is 1091937.