Least Common Multiple of 163/74, 896/54, 851/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 163/74, 896/54, 851/176 quickly i.e. 62143424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/74, 896/54, 851/176 is 62143424.

LCM(163/74, 896/54, 851/176) = 62143424

LCM of 163/74, 896/54, 851/176

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 163/74,896/54,851/176

Given numbers are 163/74,896/54,851/176

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 163,896,851

Least Common Multiple of Numerators i.e. LCM of 163,896,851 is 124286848.

GCF of Denominators means GCF of 74,54,176 as per the given fractions.

GCF of 74,54,176 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,896,851

LCM of Fractions 163/74,896/54,851/176 is 62143424

Given numbers has no common factors except 1. So, there LCM is their product i.e 124286848

Least Common Multiple of 163,896,851 with GCF Formula

Least Common Multiple of 163,896,851 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 163,896,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,896,851) = 1

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

GCF(163,896,851) x common factors =1 x 1 = 1

LCM(163,896,851) = ( 163 × 896 × 851 ) / 1

LCM(163,896,851) = 124286848 / 1

LCM(163,896,851) = 124286848


Lets's calculate GCF of 74,54,176

2 74, 54, 176
37, 27, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124286848/2

Therefore the LCM of Fractions 163/74,896/54,851/176 is 62143424

Greatest Common Factor of 74,54,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,54,176 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 74,54,176 . The biggest common factor number is the GCF number.
So the greatest common factor 74,54,176 is 2.


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Frequently Asked Questions on Fractional LCM of 163/74, 896/54, 851/176

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 163/74, 896/54, 851/176?

Answer: LCM of Numerators as per given numbers 163/74, 896/54, 851/176 is

LCM of Numerators i.e. for 163,896,851 is 124286848

GCF of denominators i.e. for 74,54,176 is 2.

Thus, LCM of Fractions is 62143424.Finally, LCM of Fractions for 163/74, 896/54, 851/176 is 62143424.