Least Common Multiple of 802/90, 343/45, 937/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/90, 343/45, 937/755 quickly i.e. 257755582/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/90, 343/45, 937/755 is 257755582/5.

LCM(802/90, 343/45, 937/755) = 257755582/5

LCM of 802/90, 343/45, 937/755

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 802/90,343/45,937/755

Given numbers are 802/90,343/45,937/755

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 802,343,937

Least Common Multiple of Numerators i.e. LCM of 802,343,937 is 257755582.

GCF of Denominators means GCF of 90,45,755 as per the given fractions.

GCF of 90,45,755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,343,937

LCM of Fractions 802/90,343/45,937/755 is 257755582/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 257755582

Least Common Multiple of 802,343,937 with GCF Formula

Least Common Multiple of 802,343,937 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 802,343,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,343,937) = 1

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

GCF(802,343,937) x common factors =1 x 1 = 1

LCM(802,343,937) = ( 802 × 343 × 937 ) / 1

LCM(802,343,937) = 257755582 / 1

LCM(802,343,937) = 257755582


Lets's calculate GCF of 90,45,755

5 90, 45, 755
18, 9, 151

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257755582/5

Therefore the LCM of Fractions 802/90,343/45,937/755 is 257755582/5

Greatest Common Factor of 90,45,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,45,755 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 90,45,755 . The biggest common factor number is the GCF number.
So the greatest common factor 90,45,755 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/90, 343/45, 937/755

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 802/90, 343/45, 937/755?

Answer: LCM of Numerators as per given numbers 802/90, 343/45, 937/755 is

LCM of Numerators i.e. for 802,343,937 is 257755582

GCF of denominators i.e. for 90,45,755 is 5.

Thus, LCM of Fractions is 257755582/5.Finally, LCM of Fractions for 802/90, 343/45, 937/755 is 257755582/5.