Least Common Multiple of 688/474, 623/533, 992/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/474, 623/533, 992/123 quickly i.e. 26574688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/474, 623/533, 992/123 is 26574688.

LCM(688/474, 623/533, 992/123) = 26574688

LCM of 688/474, 623/533, 992/123

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 688/474,623/533,992/123

Given numbers are 688/474,623/533,992/123

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 688,623,992

Least Common Multiple of Numerators i.e. LCM of 688,623,992 is 26574688.

GCF of Denominators means GCF of 474,533,123 as per the given fractions.

GCF of 474,533,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,623,992

LCM of Fractions 688/474,623/533,992/123 is 26574688

2 688, 623, 992
2 344, 623, 496
2 172, 623, 248
2 86, 623, 124
43, 623, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 623 x 62 = 26574688

Least Common Multiple of 688,623,992 with GCF Formula

Least Common Multiple of 688,623,992 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 688,623,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,623,992) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(688,623,992) x common factors =1 x 16 = 16

LCM(688,623,992) = ( 688 × 623 × 992 ) / 16

LCM(688,623,992) = 425195008 / 16

LCM(688,623,992) = 26574688


Lets's calculate GCF of 474,533,123

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26574688/1

Therefore the LCM of Fractions 688/474,623/533,992/123 is 26574688

Greatest Common Factor of 474,533,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,533,123 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 474,533,123 . The biggest common factor number is the GCF number.
So the greatest common factor 474,533,123 is 1.


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 688/474, 623/533, 992/123

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 688/474, 623/533, 992/123?

Answer: LCM of Numerators as per given numbers 688/474, 623/533, 992/123 is

LCM of Numerators i.e. for 688,623,992 is 26574688

GCF of denominators i.e. for 474,533,123 is 1.

Thus, LCM of Fractions is 26574688.Finally, LCM of Fractions for 688/474, 623/533, 992/123 is 26574688.