Least Common Multiple of 4669/684, 6900/3970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4669/684, 6900/3970 quickly i.e. 700350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4669/684, 6900/3970 is 700350.

LCM(4669/684, 6900/3970) = 700350

LCM of 4669/684, 6900/3970

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 4669/684,6900/3970

Given numbers are 4669/684,6900/3970

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 4669,6900

Least Common Multiple of Numerators i.e. LCM of 4669,6900 is 1400700.

GCF of Denominators means GCF of 684,3970 as per the given fractions.

GCF of 684,3970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4669,6900

LCM of Fractions 4669/684,6900/3970 is 700350

23 4669, 6900
203, 300

∴ So the LCM of the given numbers is 23 x 203 x 300 = 1400700

Least Common Multiple of 4669,6900 with GCF Formula

Least Common Multiple of 4669,6900 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 4669,6900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4669,6900) = 23

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

GCF(4669,6900) x common factors =23 x 1 = 23

LCM(4669,6900) = ( 4669 × 6900 ) / 23

LCM(4669,6900) = 32216100 / 23

LCM(4669,6900) = 1400700


Lets's calculate GCF of 684,3970

2 684, 3970
342, 1985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1400700/2

Therefore the LCM of Fractions 4669/684,6900/3970 is 700350

Greatest Common Factor of 684,3970 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,3970 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 3970

List of positive integer factors of 3970 that divides 3970 without a remainder.

1,2,5,10,397,794,1985,3970

Greatest Common Factor

We found the factors 684,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 684,3970 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 4669/684, 6900/3970

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 4669/684, 6900/3970?

Answer: LCM of Numerators as per given numbers 4669/684, 6900/3970 is

LCM of Numerators i.e. for 4669,6900 is 1400700

GCF of denominators i.e. for 684,3970 is 2.

Thus, LCM of Fractions is 700350.Finally, LCM of Fractions for 4669/684, 6900/3970 is 700350.