Least Common Multiple of 746/77, 700/79, 514/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/77, 700/79, 514/686 quickly i.e. 67102700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/77, 700/79, 514/686 is 67102700.

LCM(746/77, 700/79, 514/686) = 67102700

LCM of 746/77, 700/79, 514/686

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 746/77,700/79,514/686

Given numbers are 746/77,700/79,514/686

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 746,700,514

Least Common Multiple of Numerators i.e. LCM of 746,700,514 is 67102700.

GCF of Denominators means GCF of 77,79,686 as per the given fractions.

GCF of 77,79,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,700,514

LCM of Fractions 746/77,700/79,514/686 is 67102700

2 746, 700, 514
373, 350, 257

∴ So the LCM of the given numbers is 2 x 373 x 350 x 257 = 67102700

Least Common Multiple of 746,700,514 with GCF Formula

Least Common Multiple of 746,700,514 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 746,700,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,700,514) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(746,700,514) x common factors =2 x 2 = 4

LCM(746,700,514) = ( 746 × 700 × 514 ) / 4

LCM(746,700,514) = 268410800 / 4

LCM(746,700,514) = 67102700


Lets's calculate GCF of 77,79,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67102700/1

Therefore the LCM of Fractions 746/77,700/79,514/686 is 67102700

Greatest Common Factor of 77,79,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,79,686 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 77,79,686 . The biggest common factor number is the GCF number.
So the greatest common factor 77,79,686 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 746/77, 700/79, 514/686

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 746/77, 700/79, 514/686?

Answer: LCM of Numerators as per given numbers 746/77, 700/79, 514/686 is

LCM of Numerators i.e. for 746,700,514 is 67102700

GCF of denominators i.e. for 77,79,686 is 1.

Thus, LCM of Fractions is 67102700.Finally, LCM of Fractions for 746/77, 700/79, 514/686 is 67102700.