Least Common Multiple of 738/430, 8540/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/430, 8540/986 quickly i.e. 1575630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/430, 8540/986 is 1575630.

LCM(738/430, 8540/986) = 1575630

LCM of 738/430, 8540/986

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 738/430,8540/986

Given numbers are 738/430,8540/986

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 738,8540

Least Common Multiple of Numerators i.e. LCM of 738,8540 is 3151260.

GCF of Denominators means GCF of 430,986 as per the given fractions.

GCF of 430,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,8540

LCM of Fractions 738/430,8540/986 is 1575630

2 738, 8540
369, 4270

∴ So the LCM of the given numbers is 2 x 369 x 4270 = 3151260

Least Common Multiple of 738,8540 with GCF Formula

Least Common Multiple of 738,8540 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 738,8540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,8540) = 2

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

GCF(738,8540) x common factors =2 x 1 = 2

LCM(738,8540) = ( 738 × 8540 ) / 2

LCM(738,8540) = 6302520 / 2

LCM(738,8540) = 3151260


Lets's calculate GCF of 430,986

2 430, 986
215, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3151260/2

Therefore the LCM of Fractions 738/430,8540/986 is 1575630

Greatest Common Factor of 430,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,986 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 430,986 . The biggest common factor number is the GCF number.
So the greatest common factor 430,986 is 2.


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 738/430, 8540/986

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 738/430, 8540/986?

Answer: LCM of Numerators as per given numbers 738/430, 8540/986 is

LCM of Numerators i.e. for 738,8540 is 3151260

GCF of denominators i.e. for 430,986 is 2.

Thus, LCM of Fractions is 1575630.Finally, LCM of Fractions for 738/430, 8540/986 is 1575630.