Least Common Multiple of 62/742, 86/745, 749/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/742, 86/745, 749/265 quickly i.e. 1996834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/742, 86/745, 749/265 is 1996834.

LCM(62/742, 86/745, 749/265) = 1996834

LCM of 62/742, 86/745, 749/265

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 62/742,86/745,749/265

Given numbers are 62/742,86/745,749/265

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 62,86,749

Least Common Multiple of Numerators i.e. LCM of 62,86,749 is 1996834.

GCF of Denominators means GCF of 742,745,265 as per the given fractions.

GCF of 742,745,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,86,749

LCM of Fractions 62/742,86/745,749/265 is 1996834

2 62, 86, 749
31, 43, 749

∴ So the LCM of the given numbers is 2 x 31 x 43 x 749 = 1996834

Least Common Multiple of 62,86,749 with GCF Formula

Least Common Multiple of 62,86,749 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 62,86,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,86,749) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,86,749) x common factors =1 x 2 = 2

LCM(62,86,749) = ( 62 × 86 × 749 ) / 2

LCM(62,86,749) = 3993668 / 2

LCM(62,86,749) = 1996834


Lets's calculate GCF of 742,745,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996834/1

Therefore the LCM of Fractions 62/742,86/745,749/265 is 1996834

Greatest Common Factor of 742,745,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,745,265 By Matching Biggest Common Factor Method

Factors of 742

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

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

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 742,745,265 . The biggest common factor number is the GCF number.
So the greatest common factor 742,745,265 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 62/742, 86/745, 749/265

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 62/742, 86/745, 749/265?

Answer: LCM of Numerators as per given numbers 62/742, 86/745, 749/265 is

LCM of Numerators i.e. for 62,86,749 is 1996834

GCF of denominators i.e. for 742,745,265 is 1.

Thus, LCM of Fractions is 1996834.Finally, LCM of Fractions for 62/742, 86/745, 749/265 is 1996834.