Least Common Multiple of 369/430, 7526/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/430, 7526/986 quickly i.e. 1388547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/430, 7526/986 is 1388547.

LCM(369/430, 7526/986) = 1388547

LCM of 369/430, 7526/986

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 369/430,7526/986

Given numbers are 369/430,7526/986

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 369,7526

Least Common Multiple of Numerators i.e. LCM of 369,7526 is 2777094.

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 369,7526

LCM of Fractions 369/430,7526/986 is 1388547

Given numbers has no common factors except 1. So, there LCM is their product i.e 2777094

Least Common Multiple of 369,7526 with GCF Formula

Least Common Multiple of 369,7526 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 369,7526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,7526) = 1

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

GCF(369,7526) x common factors =1 x 1 = 1

LCM(369,7526) = ( 369 × 7526 ) / 1

LCM(369,7526) = 2777094 / 1

LCM(369,7526) = 2777094


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 = 2777094/2

Therefore the LCM of Fractions 369/430,7526/986 is 1388547

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 369/430, 7526/986

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 369/430, 7526/986?

Answer: LCM of Numerators as per given numbers 369/430, 7526/986 is

LCM of Numerators i.e. for 369,7526 is 2777094

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

Thus, LCM of Fractions is 1388547.Finally, LCM of Fractions for 369/430, 7526/986 is 1388547.