Least Common Multiple of 2548/688, 5994/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2548/688, 5994/962 quickly i.e. 3818178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2548/688, 5994/962 is 3818178.

LCM(2548/688, 5994/962) = 3818178

LCM of 2548/688, 5994/962

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 2548/688,5994/962

Given numbers are 2548/688,5994/962

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 2548,5994

Least Common Multiple of Numerators i.e. LCM of 2548,5994 is 7636356.

GCF of Denominators means GCF of 688,962 as per the given fractions.

GCF of 688,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2548,5994

LCM of Fractions 2548/688,5994/962 is 3818178

2 2548, 5994
1274, 2997

∴ So the LCM of the given numbers is 2 x 1274 x 2997 = 7636356

Least Common Multiple of 2548,5994 with GCF Formula

Least Common Multiple of 2548,5994 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 2548,5994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2548,5994) = 2

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

GCF(2548,5994) x common factors =2 x 1 = 2

LCM(2548,5994) = ( 2548 × 5994 ) / 2

LCM(2548,5994) = 15272712 / 2

LCM(2548,5994) = 7636356


Lets's calculate GCF of 688,962

2 688, 962
344, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7636356/2

Therefore the LCM of Fractions 2548/688,5994/962 is 3818178

Greatest Common Factor of 688,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,962 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 688,962 . The biggest common factor number is the GCF number.
So the greatest common factor 688,962 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2548/688, 5994/962

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 2548/688, 5994/962?

Answer: LCM of Numerators as per given numbers 2548/688, 5994/962 is

LCM of Numerators i.e. for 2548,5994 is 7636356

GCF of denominators i.e. for 688,962 is 2.

Thus, LCM of Fractions is 3818178.Finally, LCM of Fractions for 2548/688, 5994/962 is 3818178.