Least Common Multiple of 62/306, 8677/7769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/306, 8677/7769 quickly i.e. 537974/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/306, 8677/7769 is 537974/17.

LCM(62/306, 8677/7769) = 537974/17

LCM of 62/306, 8677/7769

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 62/306,8677/7769

Given numbers are 62/306,8677/7769

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 62,8677

Least Common Multiple of Numerators i.e. LCM of 62,8677 is 537974.

GCF of Denominators means GCF of 306,7769 as per the given fractions.

GCF of 306,7769 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,8677

LCM of Fractions 62/306,8677/7769 is 537974/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 537974

Least Common Multiple of 62,8677 with GCF Formula

Least Common Multiple of 62,8677 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 62,8677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,8677) = 1

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

GCF(62,8677) x common factors =1 x 1 = 1

LCM(62,8677) = ( 62 × 8677 ) / 1

LCM(62,8677) = 537974 / 1

LCM(62,8677) = 537974


Lets's calculate GCF of 306,7769

17 306, 7769
18, 457

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 537974/17

Therefore the LCM of Fractions 62/306,8677/7769 is 537974/17

Greatest Common Factor of 306,7769 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,7769 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 7769

List of positive integer factors of 7769 that divides 7769 without a remainder.

1,17,457,7769

Greatest Common Factor

We found the factors 306,7769 . The biggest common factor number is the GCF number.
So the greatest common factor 306,7769 is 17.


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 62/306, 8677/7769

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 62/306, 8677/7769?

Answer: LCM of Numerators as per given numbers 62/306, 8677/7769 is

LCM of Numerators i.e. for 62,8677 is 537974

GCF of denominators i.e. for 306,7769 is 17.

Thus, LCM of Fractions is 537974/17.Finally, LCM of Fractions for 62/306, 8677/7769 is 537974/17.