Least Common Multiple of 128/16, 514/74, 708/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/16, 514/74, 708/702 quickly i.e. 2911296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/16, 514/74, 708/702 is 2911296.

LCM(128/16, 514/74, 708/702) = 2911296

LCM of 128/16, 514/74, 708/702

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 128/16,514/74,708/702

Given numbers are 128/16,514/74,708/702

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 128,514,708

Least Common Multiple of Numerators i.e. LCM of 128,514,708 is 5822592.

GCF of Denominators means GCF of 16,74,702 as per the given fractions.

GCF of 16,74,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,514,708

LCM of Fractions 128/16,514/74,708/702 is 2911296

2 128, 514, 708
2 64, 257, 354
32, 257, 177

∴ So the LCM of the given numbers is 2 x 2 x 32 x 257 x 177 = 5822592

Least Common Multiple of 128,514,708 with GCF Formula

Least Common Multiple of 128,514,708 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 128,514,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,514,708) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(128,514,708) x common factors =2 x 4 = 8

LCM(128,514,708) = ( 128 × 514 × 708 ) / 8

LCM(128,514,708) = 46580736 / 8

LCM(128,514,708) = 5822592


Lets's calculate GCF of 16,74,702

2 16, 74, 702
8, 37, 351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5822592/2

Therefore the LCM of Fractions 128/16,514/74,708/702 is 2911296

Greatest Common Factor of 16,74,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,74,702 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 16,74,702 . The biggest common factor number is the GCF number.
So the greatest common factor 16,74,702 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 128/16, 514/74, 708/702

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 128/16, 514/74, 708/702?

Answer: LCM of Numerators as per given numbers 128/16, 514/74, 708/702 is

LCM of Numerators i.e. for 128,514,708 is 5822592

GCF of denominators i.e. for 16,74,702 is 2.

Thus, LCM of Fractions is 2911296.Finally, LCM of Fractions for 128/16, 514/74, 708/702 is 2911296.