Least Common Multiple of 87/66, 690/90, 702/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/66, 690/90, 702/123 quickly i.e. 780390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/66, 690/90, 702/123 is 780390.

LCM(87/66, 690/90, 702/123) = 780390

LCM of 87/66, 690/90, 702/123

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 87/66,690/90,702/123

Given numbers are 87/66,690/90,702/123

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 87,690,702

Least Common Multiple of Numerators i.e. LCM of 87,690,702 is 2341170.

GCF of Denominators means GCF of 66,90,123 as per the given fractions.

GCF of 66,90,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,690,702

LCM of Fractions 87/66,690/90,702/123 is 780390

2 87, 690, 702
3 87, 345, 351
29, 115, 117

∴ So the LCM of the given numbers is 2 x 3 x 29 x 115 x 117 = 2341170

Least Common Multiple of 87,690,702 with GCF Formula

Least Common Multiple of 87,690,702 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 87,690,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,690,702) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(87,690,702) x common factors =3 x 6 = 18

LCM(87,690,702) = ( 87 × 690 × 702 ) / 18

LCM(87,690,702) = 42141060 / 18

LCM(87,690,702) = 2341170


Lets's calculate GCF of 66,90,123

3 66, 90, 123
22, 30, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2341170/3

Therefore the LCM of Fractions 87/66,690/90,702/123 is 780390

Greatest Common Factor of 66,90,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,90,123 By Matching Biggest Common Factor Method

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 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 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 66,90,123 . The biggest common factor number is the GCF number.
So the greatest common factor 66,90,123 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 87/66, 690/90, 702/123

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 87/66, 690/90, 702/123?

Answer: LCM of Numerators as per given numbers 87/66, 690/90, 702/123 is

LCM of Numerators i.e. for 87,690,702 is 2341170

GCF of denominators i.e. for 66,90,123 is 3.

Thus, LCM of Fractions is 780390.Finally, LCM of Fractions for 87/66, 690/90, 702/123 is 780390.