Least Common Multiple of 713/700, 646/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/700, 646/100 quickly i.e. 460598/100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/700, 646/100 is 460598/100.

LCM(713/700, 646/100) = 460598/100

LCM of 713/700, 646/100

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 713/700,646/100

Given numbers are 713/700,646/100

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 713,646

Least Common Multiple of Numerators i.e. LCM of 713,646 is 460598.

GCF of Denominators means GCF of 700,100 as per the given fractions.

GCF of 700,100 is 100 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,646

LCM of Fractions 713/700,646/100 is 460598/100

Given numbers has no common factors except 1. So, there LCM is their product i.e 460598

Least Common Multiple of 713,646 with GCF Formula

Least Common Multiple of 713,646 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 713,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,646) = 1

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

GCF(713,646) x common factors =1 x 1 = 1

LCM(713,646) = ( 713 × 646 ) / 1

LCM(713,646) = 460598 / 1

LCM(713,646) = 460598


Lets's calculate GCF of 700,100

2 700, 100
2 350, 50
5 175, 25
5 35, 5
7, 1

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460598/100

Therefore the LCM of Fractions 713/700,646/100 is 460598/100

Greatest Common Factor of 700,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,100 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 700,100 . The biggest common factor number is the GCF number.
So the greatest common factor 700,100 is 100.


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 713/700, 646/100

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 713/700, 646/100?

Answer: LCM of Numerators as per given numbers 713/700, 646/100 is

LCM of Numerators i.e. for 713,646 is 460598

GCF of denominators i.e. for 700,100 is 100.

Thus, LCM of Fractions is 460598/100.Finally, LCM of Fractions for 713/700, 646/100 is 460598/100.