Least Common Multiple of 36/977, 34/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/977, 34/689 quickly i.e. 612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/977, 34/689 is 612.

LCM(36/977, 34/689) = 612

LCM of 36/977, 34/689

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 36/977,34/689

Given numbers are 36/977,34/689

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 36,34

Least Common Multiple of Numerators i.e. LCM of 36,34 is 612.

GCF of Denominators means GCF of 977,689 as per the given fractions.

GCF of 977,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,34

LCM of Fractions 36/977,34/689 is 612

2 36, 34
18, 17

∴ So the LCM of the given numbers is 2 x 18 x 17 = 612

Least Common Multiple of 36,34 with GCF Formula

Least Common Multiple of 36,34 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 36,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,34) = 2

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

GCF(36,34) x common factors =2 x 1 = 2

LCM(36,34) = ( 36 × 34 ) / 2

LCM(36,34) = 1224 / 2

LCM(36,34) = 612


Lets's calculate GCF of 977,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612/1

Therefore the LCM of Fractions 36/977,34/689 is 612

Greatest Common Factor of 977,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,689 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 977,689 . The biggest common factor number is the GCF number.
So the greatest common factor 977,689 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 36/977, 34/689

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 36/977, 34/689?

Answer: LCM of Numerators as per given numbers 36/977, 34/689 is

LCM of Numerators i.e. for 36,34 is 612

GCF of denominators i.e. for 977,689 is 1.

Thus, LCM of Fractions is 612.Finally, LCM of Fractions for 36/977, 34/689 is 612.