Least Common Multiple of 379/700, 689/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/700, 689/314 quickly i.e. 261131/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/700, 689/314 is 261131/2.

LCM(379/700, 689/314) = 261131/2

LCM of 379/700, 689/314

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 379/700,689/314

Given numbers are 379/700,689/314

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 379,689

Least Common Multiple of Numerators i.e. LCM of 379,689 is 261131.

GCF of Denominators means GCF of 700,314 as per the given fractions.

GCF of 700,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,689

LCM of Fractions 379/700,689/314 is 261131/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 261131

Least Common Multiple of 379,689 with GCF Formula

Least Common Multiple of 379,689 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 379,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,689) = 1

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

GCF(379,689) x common factors =1 x 1 = 1

LCM(379,689) = ( 379 × 689 ) / 1

LCM(379,689) = 261131 / 1

LCM(379,689) = 261131


Lets's calculate GCF of 700,314

2 700, 314
350, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261131/2

Therefore the LCM of Fractions 379/700,689/314 is 261131/2

Greatest Common Factor of 700,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,314 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 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 700,314 . The biggest common factor number is the GCF number.
So the greatest common factor 700,314 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 379/700, 689/314

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 379/700, 689/314?

Answer: LCM of Numerators as per given numbers 379/700, 689/314 is

LCM of Numerators i.e. for 379,689 is 261131

GCF of denominators i.e. for 700,314 is 2.

Thus, LCM of Fractions is 261131/2.Finally, LCM of Fractions for 379/700, 689/314 is 261131/2.