Least Common Multiple of 40/348, 98/527, 851/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/348, 98/527, 851/177 quickly i.e. 1667960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/348, 98/527, 851/177 is 1667960.

LCM(40/348, 98/527, 851/177) = 1667960

LCM of 40/348, 98/527, 851/177

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 40/348,98/527,851/177

Given numbers are 40/348,98/527,851/177

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 40,98,851

Least Common Multiple of Numerators i.e. LCM of 40,98,851 is 1667960.

GCF of Denominators means GCF of 348,527,177 as per the given fractions.

GCF of 348,527,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,98,851

LCM of Fractions 40/348,98/527,851/177 is 1667960

2 40, 98, 851
20, 49, 851

∴ So the LCM of the given numbers is 2 x 20 x 49 x 851 = 1667960

Least Common Multiple of 40,98,851 with GCF Formula

Least Common Multiple of 40,98,851 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 40,98,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,98,851) = 1

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

GCF(40,98,851) x common factors =1 x 2 = 2

LCM(40,98,851) = ( 40 × 98 × 851 ) / 2

LCM(40,98,851) = 3335920 / 2

LCM(40,98,851) = 1667960


Lets's calculate GCF of 348,527,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1667960/1

Therefore the LCM of Fractions 40/348,98/527,851/177 is 1667960

Greatest Common Factor of 348,527,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,527,177 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 348,527,177 . The biggest common factor number is the GCF number.
So the greatest common factor 348,527,177 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/348, 98/527, 851/177

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 40/348, 98/527, 851/177?

Answer: LCM of Numerators as per given numbers 40/348, 98/527, 851/177 is

LCM of Numerators i.e. for 40,98,851 is 1667960

GCF of denominators i.e. for 348,527,177 is 1.

Thus, LCM of Fractions is 1667960.Finally, LCM of Fractions for 40/348, 98/527, 851/177 is 1667960.