Least Common Multiple of 43/90, 157/66, 750/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/90, 157/66, 750/680 quickly i.e. 2531625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/90, 157/66, 750/680 is 2531625.

LCM(43/90, 157/66, 750/680) = 2531625

LCM of 43/90, 157/66, 750/680

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 43/90,157/66,750/680

Given numbers are 43/90,157/66,750/680

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 43,157,750

Least Common Multiple of Numerators i.e. LCM of 43,157,750 is 5063250.

GCF of Denominators means GCF of 90,66,680 as per the given fractions.

GCF of 90,66,680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,157,750

LCM of Fractions 43/90,157/66,750/680 is 2531625

Given numbers has no common factors except 1. So, there LCM is their product i.e 5063250

Least Common Multiple of 43,157,750 with GCF Formula

Least Common Multiple of 43,157,750 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 43,157,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,157,750) = 1

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

GCF(43,157,750) x common factors =1 x 1 = 1

LCM(43,157,750) = ( 43 × 157 × 750 ) / 1

LCM(43,157,750) = 5063250 / 1

LCM(43,157,750) = 5063250


Lets's calculate GCF of 90,66,680

2 90, 66, 680
45, 33, 340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5063250/2

Therefore the LCM of Fractions 43/90,157/66,750/680 is 2531625

Greatest Common Factor of 90,66,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,66,680 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 90,66,680 . The biggest common factor number is the GCF number.
So the greatest common factor 90,66,680 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 43/90, 157/66, 750/680

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 43/90, 157/66, 750/680?

Answer: LCM of Numerators as per given numbers 43/90, 157/66, 750/680 is

LCM of Numerators i.e. for 43,157,750 is 5063250

GCF of denominators i.e. for 90,66,680 is 2.

Thus, LCM of Fractions is 2531625.Finally, LCM of Fractions for 43/90, 157/66, 750/680 is 2531625.