Least Common Multiple of 77/962, 537/54, 810/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/962, 537/54, 810/686 quickly i.e. 5582115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/962, 537/54, 810/686 is 5582115.

LCM(77/962, 537/54, 810/686) = 5582115

LCM of 77/962, 537/54, 810/686

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 77/962,537/54,810/686

Given numbers are 77/962,537/54,810/686

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 77,537,810

Least Common Multiple of Numerators i.e. LCM of 77,537,810 is 11164230.

GCF of Denominators means GCF of 962,54,686 as per the given fractions.

GCF of 962,54,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,537,810

LCM of Fractions 77/962,537/54,810/686 is 5582115

3 77, 537, 810
77, 179, 270

∴ So the LCM of the given numbers is 3 x 77 x 179 x 270 = 11164230

Least Common Multiple of 77,537,810 with GCF Formula

Least Common Multiple of 77,537,810 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 77,537,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,537,810) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,537,810) x common factors =1 x 3 = 3

LCM(77,537,810) = ( 77 × 537 × 810 ) / 3

LCM(77,537,810) = 33492690 / 3

LCM(77,537,810) = 11164230


Lets's calculate GCF of 962,54,686

2 962, 54, 686
481, 27, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11164230/2

Therefore the LCM of Fractions 77/962,537/54,810/686 is 5582115

Greatest Common Factor of 962,54,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,54,686 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 962,54,686 . The biggest common factor number is the GCF number.
So the greatest common factor 962,54,686 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 77/962, 537/54, 810/686

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 77/962, 537/54, 810/686?

Answer: LCM of Numerators as per given numbers 77/962, 537/54, 810/686 is

LCM of Numerators i.e. for 77,537,810 is 11164230

GCF of denominators i.e. for 962,54,686 is 2.

Thus, LCM of Fractions is 5582115.Finally, LCM of Fractions for 77/962, 537/54, 810/686 is 5582115.