Least Common Multiple of 747/87, 741/69, 690/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/87, 741/69, 690/386 quickly i.e. 42437070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/87, 741/69, 690/386 is 42437070.

LCM(747/87, 741/69, 690/386) = 42437070

LCM of 747/87, 741/69, 690/386

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 747/87,741/69,690/386

Given numbers are 747/87,741/69,690/386

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 747,741,690

Least Common Multiple of Numerators i.e. LCM of 747,741,690 is 42437070.

GCF of Denominators means GCF of 87,69,386 as per the given fractions.

GCF of 87,69,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,741,690

LCM of Fractions 747/87,741/69,690/386 is 42437070

3 747, 741, 690
249, 247, 230

∴ So the LCM of the given numbers is 3 x 249 x 247 x 230 = 42437070

Least Common Multiple of 747,741,690 with GCF Formula

Least Common Multiple of 747,741,690 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 747,741,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,741,690) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(747,741,690) x common factors =3 x 3 = 9

LCM(747,741,690) = ( 747 × 741 × 690 ) / 9

LCM(747,741,690) = 381933630 / 9

LCM(747,741,690) = 42437070


Lets's calculate GCF of 87,69,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42437070/1

Therefore the LCM of Fractions 747/87,741/69,690/386 is 42437070

Greatest Common Factor of 87,69,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,69,386 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 87,69,386 . The biggest common factor number is the GCF number.
So the greatest common factor 87,69,386 is 1.


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 747/87, 741/69, 690/386

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 747/87, 741/69, 690/386?

Answer: LCM of Numerators as per given numbers 747/87, 741/69, 690/386 is

LCM of Numerators i.e. for 747,741,690 is 42437070

GCF of denominators i.e. for 87,69,386 is 1.

Thus, LCM of Fractions is 42437070.Finally, LCM of Fractions for 747/87, 741/69, 690/386 is 42437070.