Least Common Multiple of 722/977, 1646/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/977, 1646/680 quickly i.e. 594206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/977, 1646/680 is 594206.

LCM(722/977, 1646/680) = 594206

LCM of 722/977, 1646/680

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 722/977,1646/680

Given numbers are 722/977,1646/680

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 722,1646

Least Common Multiple of Numerators i.e. LCM of 722,1646 is 594206.

GCF of Denominators means GCF of 977,680 as per the given fractions.

GCF of 977,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,1646

LCM of Fractions 722/977,1646/680 is 594206

2 722, 1646
361, 823

∴ So the LCM of the given numbers is 2 x 361 x 823 = 594206

Least Common Multiple of 722,1646 with GCF Formula

Least Common Multiple of 722,1646 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 722,1646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,1646) = 2

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

GCF(722,1646) x common factors =2 x 1 = 2

LCM(722,1646) = ( 722 × 1646 ) / 2

LCM(722,1646) = 1188412 / 2

LCM(722,1646) = 594206


Lets's calculate GCF of 977,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594206/1

Therefore the LCM of Fractions 722/977,1646/680 is 594206

Greatest Common Factor of 977,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,680 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 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 977,680 . The biggest common factor number is the GCF number.
So the greatest common factor 977,680 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 722/977, 1646/680

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 722/977, 1646/680?

Answer: LCM of Numerators as per given numbers 722/977, 1646/680 is

LCM of Numerators i.e. for 722,1646 is 594206

GCF of denominators i.e. for 977,680 is 1.

Thus, LCM of Fractions is 594206.Finally, LCM of Fractions for 722/977, 1646/680 is 594206.