Least Common Multiple of 1700/686, 6407/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1700/686, 6407/496 quickly i.e. 5445950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1700/686, 6407/496 is 5445950.

LCM(1700/686, 6407/496) = 5445950

LCM of 1700/686, 6407/496

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 1700/686,6407/496

Given numbers are 1700/686,6407/496

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 1700,6407

Least Common Multiple of Numerators i.e. LCM of 1700,6407 is 10891900.

GCF of Denominators means GCF of 686,496 as per the given fractions.

GCF of 686,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1700,6407

LCM of Fractions 1700/686,6407/496 is 5445950

Given numbers has no common factors except 1. So, there LCM is their product i.e 10891900

Least Common Multiple of 1700,6407 with GCF Formula

Least Common Multiple of 1700,6407 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 1700,6407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1700,6407) = 1

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

GCF(1700,6407) x common factors =1 x 1 = 1

LCM(1700,6407) = ( 1700 × 6407 ) / 1

LCM(1700,6407) = 10891900 / 1

LCM(1700,6407) = 10891900


Lets's calculate GCF of 686,496

2 686, 496
343, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10891900/2

Therefore the LCM of Fractions 1700/686,6407/496 is 5445950

Greatest Common Factor of 686,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,496 By Matching Biggest Common Factor Method

Factors of 686

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

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

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 686,496 . The biggest common factor number is the GCF number.
So the greatest common factor 686,496 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 1700/686, 6407/496

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 1700/686, 6407/496?

Answer: LCM of Numerators as per given numbers 1700/686, 6407/496 is

LCM of Numerators i.e. for 1700,6407 is 10891900

GCF of denominators i.e. for 686,496 is 2.

Thus, LCM of Fractions is 5445950.Finally, LCM of Fractions for 1700/686, 6407/496 is 5445950.