Least Common Multiple of 86/344, 625/337, 941/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/344, 625/337, 941/742 quickly i.e. 50578750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/344, 625/337, 941/742 is 50578750.

LCM(86/344, 625/337, 941/742) = 50578750

LCM of 86/344, 625/337, 941/742

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 86/344,625/337,941/742

Given numbers are 86/344,625/337,941/742

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 86,625,941

Least Common Multiple of Numerators i.e. LCM of 86,625,941 is 50578750.

GCF of Denominators means GCF of 344,337,742 as per the given fractions.

GCF of 344,337,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,625,941

LCM of Fractions 86/344,625/337,941/742 is 50578750

Given numbers has no common factors except 1. So, there LCM is their product i.e 50578750

Least Common Multiple of 86,625,941 with GCF Formula

Least Common Multiple of 86,625,941 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 86,625,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,625,941) = 1

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

GCF(86,625,941) x common factors =1 x 1 = 1

LCM(86,625,941) = ( 86 × 625 × 941 ) / 1

LCM(86,625,941) = 50578750 / 1

LCM(86,625,941) = 50578750


Lets's calculate GCF of 344,337,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50578750/1

Therefore the LCM of Fractions 86/344,625/337,941/742 is 50578750

Greatest Common Factor of 344,337,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,337,742 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 344,337,742 . The biggest common factor number is the GCF number.
So the greatest common factor 344,337,742 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 86/344, 625/337, 941/742

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 86/344, 625/337, 941/742?

Answer: LCM of Numerators as per given numbers 86/344, 625/337, 941/742 is

LCM of Numerators i.e. for 86,625,941 is 50578750

GCF of denominators i.e. for 344,337,742 is 1.

Thus, LCM of Fractions is 50578750.Finally, LCM of Fractions for 86/344, 625/337, 941/742 is 50578750.