Least Common Multiple of 77/14, 702/21, 786/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/14, 702/21, 786/723 quickly i.e. 7081074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/14, 702/21, 786/723 is 7081074.

LCM(77/14, 702/21, 786/723) = 7081074

LCM of 77/14, 702/21, 786/723

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 77/14,702/21,786/723

Given numbers are 77/14,702/21,786/723

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 77,702,786

Least Common Multiple of Numerators i.e. LCM of 77,702,786 is 7081074.

GCF of Denominators means GCF of 14,21,723 as per the given fractions.

GCF of 14,21,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,702,786

LCM of Fractions 77/14,702/21,786/723 is 7081074

2 77, 702, 786
3 77, 351, 393
77, 117, 131

∴ So the LCM of the given numbers is 2 x 3 x 77 x 117 x 131 = 7081074

Least Common Multiple of 77,702,786 with GCF Formula

Least Common Multiple of 77,702,786 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 77,702,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,702,786) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(77,702,786) x common factors =1 x 6 = 6

LCM(77,702,786) = ( 77 × 702 × 786 ) / 6

LCM(77,702,786) = 42486444 / 6

LCM(77,702,786) = 7081074


Lets's calculate GCF of 14,21,723

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7081074/1

Therefore the LCM of Fractions 77/14,702/21,786/723 is 7081074

Greatest Common Factor of 14,21,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,21,723 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 14,21,723 . The biggest common factor number is the GCF number.
So the greatest common factor 14,21,723 is 1.


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 77/14, 702/21, 786/723

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 77/14, 702/21, 786/723?

Answer: LCM of Numerators as per given numbers 77/14, 702/21, 786/723 is

LCM of Numerators i.e. for 77,702,786 is 7081074

GCF of denominators i.e. for 14,21,723 is 1.

Thus, LCM of Fractions is 7081074.Finally, LCM of Fractions for 77/14, 702/21, 786/723 is 7081074.