Least Common Multiple of 167/176, 7228/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 167/176, 7228/498 quickly i.e. 603538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/176, 7228/498 is 603538.

LCM(167/176, 7228/498) = 603538

LCM of 167/176, 7228/498

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 167/176,7228/498

Given numbers are 167/176,7228/498

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 167,7228

Least Common Multiple of Numerators i.e. LCM of 167,7228 is 1207076.

GCF of Denominators means GCF of 176,498 as per the given fractions.

GCF of 176,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,7228

LCM of Fractions 167/176,7228/498 is 603538

Given numbers has no common factors except 1. So, there LCM is their product i.e 1207076

Least Common Multiple of 167,7228 with GCF Formula

Least Common Multiple of 167,7228 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 167,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,7228) = 1

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

GCF(167,7228) x common factors =1 x 1 = 1

LCM(167,7228) = ( 167 × 7228 ) / 1

LCM(167,7228) = 1207076 / 1

LCM(167,7228) = 1207076


Lets's calculate GCF of 176,498

2 176, 498
88, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1207076/2

Therefore the LCM of Fractions 167/176,7228/498 is 603538

Greatest Common Factor of 176,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,498 By Matching Biggest Common Factor Method

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

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 176,498 . The biggest common factor number is the GCF number.
So the greatest common factor 176,498 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 167/176, 7228/498

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 167/176, 7228/498?

Answer: LCM of Numerators as per given numbers 167/176, 7228/498 is

LCM of Numerators i.e. for 167,7228 is 1207076

GCF of denominators i.e. for 176,498 is 2.

Thus, LCM of Fractions is 603538.Finally, LCM of Fractions for 167/176, 7228/498 is 603538.