Least Common Multiple of 550/62, 688/2759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/62, 688/2759 quickly i.e. 189200/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/62, 688/2759 is 189200/31.

LCM(550/62, 688/2759) = 189200/31

LCM of 550/62, 688/2759

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 550/62,688/2759

Given numbers are 550/62,688/2759

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 550,688

Least Common Multiple of Numerators i.e. LCM of 550,688 is 189200.

GCF of Denominators means GCF of 62,2759 as per the given fractions.

GCF of 62,2759 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,688

LCM of Fractions 550/62,688/2759 is 189200/31

2 550, 688
275, 344

∴ So the LCM of the given numbers is 2 x 275 x 344 = 189200

Least Common Multiple of 550,688 with GCF Formula

Least Common Multiple of 550,688 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 550,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,688) = 2

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

GCF(550,688) x common factors =2 x 1 = 2

LCM(550,688) = ( 550 × 688 ) / 2

LCM(550,688) = 378400 / 2

LCM(550,688) = 189200


Lets's calculate GCF of 62,2759

31 62, 2759
2, 89

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189200/31

Therefore the LCM of Fractions 550/62,688/2759 is 189200/31

Greatest Common Factor of 62,2759 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,2759 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 2759

List of positive integer factors of 2759 that divides 2759 without a remainder.

1,31,89,2759

Greatest Common Factor

We found the factors 62,2759 . The biggest common factor number is the GCF number.
So the greatest common factor 62,2759 is 31.


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 550/62, 688/2759

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 550/62, 688/2759?

Answer: LCM of Numerators as per given numbers 550/62, 688/2759 is

LCM of Numerators i.e. for 550,688 is 189200

GCF of denominators i.e. for 62,2759 is 31.

Thus, LCM of Fractions is 189200/31.Finally, LCM of Fractions for 550/62, 688/2759 is 189200/31.