Least Common Multiple of 67/422, 62/883, 350/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/422, 62/883, 350/689 quickly i.e. 726950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/422, 62/883, 350/689 is 726950.

LCM(67/422, 62/883, 350/689) = 726950

LCM of 67/422, 62/883, 350/689

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 67/422,62/883,350/689

Given numbers are 67/422,62/883,350/689

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 67,62,350

Least Common Multiple of Numerators i.e. LCM of 67,62,350 is 726950.

GCF of Denominators means GCF of 422,883,689 as per the given fractions.

GCF of 422,883,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,62,350

LCM of Fractions 67/422,62/883,350/689 is 726950

2 67, 62, 350
67, 31, 175

∴ So the LCM of the given numbers is 2 x 67 x 31 x 175 = 726950

Least Common Multiple of 67,62,350 with GCF Formula

Least Common Multiple of 67,62,350 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 67,62,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,62,350) = 1

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

GCF(67,62,350) x common factors =1 x 2 = 2

LCM(67,62,350) = ( 67 × 62 × 350 ) / 2

LCM(67,62,350) = 1453900 / 2

LCM(67,62,350) = 726950


Lets's calculate GCF of 422,883,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726950/1

Therefore the LCM of Fractions 67/422,62/883,350/689 is 726950

Greatest Common Factor of 422,883,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,883,689 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

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 422,883,689 . The biggest common factor number is the GCF number.
So the greatest common factor 422,883,689 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 67/422, 62/883, 350/689

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 67/422, 62/883, 350/689?

Answer: LCM of Numerators as per given numbers 67/422, 62/883, 350/689 is

LCM of Numerators i.e. for 67,62,350 is 726950

GCF of denominators i.e. for 422,883,689 is 1.

Thus, LCM of Fractions is 726950.Finally, LCM of Fractions for 67/422, 62/883, 350/689 is 726950.