Least Common Multiple of 840/310, 6308/6964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/310, 6308/6964 quickly i.e. 662340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/310, 6308/6964 is 662340.

LCM(840/310, 6308/6964) = 662340

LCM of 840/310, 6308/6964

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 840/310,6308/6964

Given numbers are 840/310,6308/6964

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 840,6308

Least Common Multiple of Numerators i.e. LCM of 840,6308 is 1324680.

GCF of Denominators means GCF of 310,6964 as per the given fractions.

GCF of 310,6964 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,6308

LCM of Fractions 840/310,6308/6964 is 662340

2 840, 6308
2 420, 3154
210, 1577

∴ So the LCM of the given numbers is 2 x 2 x 210 x 1577 = 1324680

Least Common Multiple of 840,6308 with GCF Formula

Least Common Multiple of 840,6308 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 840,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,6308) = 4

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

GCF(840,6308) x common factors =4 x 1 = 4

LCM(840,6308) = ( 840 × 6308 ) / 4

LCM(840,6308) = 5298720 / 4

LCM(840,6308) = 1324680


Lets's calculate GCF of 310,6964

2 310, 6964
155, 3482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1324680/2

Therefore the LCM of Fractions 840/310,6308/6964 is 662340

Greatest Common Factor of 310,6964 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,6964 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1,2,4,1741,3482,6964

Greatest Common Factor

We found the factors 310,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 310,6964 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 840/310, 6308/6964

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 840/310, 6308/6964?

Answer: LCM of Numerators as per given numbers 840/310, 6308/6964 is

LCM of Numerators i.e. for 840,6308 is 1324680

GCF of denominators i.e. for 310,6964 is 2.

Thus, LCM of Fractions is 662340.Finally, LCM of Fractions for 840/310, 6308/6964 is 662340.