Least Common Multiple of 425/943, 505/194, 967/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 425/943, 505/194, 967/822 quickly i.e. 41508475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/943, 505/194, 967/822 is 41508475.

LCM(425/943, 505/194, 967/822) = 41508475

LCM of 425/943, 505/194, 967/822

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 425/943,505/194,967/822

Given numbers are 425/943,505/194,967/822

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 425,505,967

Least Common Multiple of Numerators i.e. LCM of 425,505,967 is 41508475.

GCF of Denominators means GCF of 943,194,822 as per the given fractions.

GCF of 943,194,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,505,967

LCM of Fractions 425/943,505/194,967/822 is 41508475

5 425, 505, 967
85, 101, 967

∴ So the LCM of the given numbers is 5 x 85 x 101 x 967 = 41508475

Least Common Multiple of 425,505,967 with GCF Formula

Least Common Multiple of 425,505,967 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 425,505,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,505,967) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(425,505,967) x common factors =1 x 5 = 5

LCM(425,505,967) = ( 425 × 505 × 967 ) / 5

LCM(425,505,967) = 207542375 / 5

LCM(425,505,967) = 41508475


Lets's calculate GCF of 943,194,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41508475/1

Therefore the LCM of Fractions 425/943,505/194,967/822 is 41508475

Greatest Common Factor of 943,194,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,194,822 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 943,194,822 . The biggest common factor number is the GCF number.
So the greatest common factor 943,194,822 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 425/943, 505/194, 967/822

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 425/943, 505/194, 967/822?

Answer: LCM of Numerators as per given numbers 425/943, 505/194, 967/822 is

LCM of Numerators i.e. for 425,505,967 is 41508475

GCF of denominators i.e. for 943,194,822 is 1.

Thus, LCM of Fractions is 41508475.Finally, LCM of Fractions for 425/943, 505/194, 967/822 is 41508475.