Least Common Multiple of 51/896, 14/146, 566/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/896, 14/146, 566/370 quickly i.e. 101031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/896, 14/146, 566/370 is 101031.

LCM(51/896, 14/146, 566/370) = 101031

LCM of 51/896, 14/146, 566/370

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 51/896,14/146,566/370

Given numbers are 51/896,14/146,566/370

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 51,14,566

Least Common Multiple of Numerators i.e. LCM of 51,14,566 is 202062.

GCF of Denominators means GCF of 896,146,370 as per the given fractions.

GCF of 896,146,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,14,566

LCM of Fractions 51/896,14/146,566/370 is 101031

2 51, 14, 566
51, 7, 283

∴ So the LCM of the given numbers is 2 x 51 x 7 x 283 = 202062

Least Common Multiple of 51,14,566 with GCF Formula

Least Common Multiple of 51,14,566 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 51,14,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,14,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,14,566) x common factors =1 x 2 = 2

LCM(51,14,566) = ( 51 × 14 × 566 ) / 2

LCM(51,14,566) = 404124 / 2

LCM(51,14,566) = 202062


Lets's calculate GCF of 896,146,370

2 896, 146, 370
448, 73, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202062/2

Therefore the LCM of Fractions 51/896,14/146,566/370 is 101031

Greatest Common Factor of 896,146,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,146,370 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 896,146,370 . The biggest common factor number is the GCF number.
So the greatest common factor 896,146,370 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 51/896, 14/146, 566/370

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 51/896, 14/146, 566/370?

Answer: LCM of Numerators as per given numbers 51/896, 14/146, 566/370 is

LCM of Numerators i.e. for 51,14,566 is 202062

GCF of denominators i.e. for 896,146,370 is 2.

Thus, LCM of Fractions is 101031.Finally, LCM of Fractions for 51/896, 14/146, 566/370 is 101031.