Least Common Multiple of 429/964, 1531/3022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 429/964, 1531/3022 quickly i.e. 656799/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/964, 1531/3022 is 656799/2.

LCM(429/964, 1531/3022) = 656799/2

LCM of 429/964, 1531/3022

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 429/964,1531/3022

Given numbers are 429/964,1531/3022

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 429,1531

Least Common Multiple of Numerators i.e. LCM of 429,1531 is 656799.

GCF of Denominators means GCF of 964,3022 as per the given fractions.

GCF of 964,3022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,1531

LCM of Fractions 429/964,1531/3022 is 656799/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 656799

Least Common Multiple of 429,1531 with GCF Formula

Least Common Multiple of 429,1531 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 429,1531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,1531) = 1

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

GCF(429,1531) x common factors =1 x 1 = 1

LCM(429,1531) = ( 429 × 1531 ) / 1

LCM(429,1531) = 656799 / 1

LCM(429,1531) = 656799


Lets's calculate GCF of 964,3022

2 964, 3022
482, 1511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 656799/2

Therefore the LCM of Fractions 429/964,1531/3022 is 656799/2

Greatest Common Factor of 964,3022 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,3022 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 3022

List of positive integer factors of 3022 that divides 3022 without a remainder.

1,2,1511,3022

Greatest Common Factor

We found the factors 964,3022 . The biggest common factor number is the GCF number.
So the greatest common factor 964,3022 is 2.


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Frequently Asked Questions on Fractional LCM of 429/964, 1531/3022

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 429/964, 1531/3022?

Answer: LCM of Numerators as per given numbers 429/964, 1531/3022 is

LCM of Numerators i.e. for 429,1531 is 656799

GCF of denominators i.e. for 964,3022 is 2.

Thus, LCM of Fractions is 656799/2.Finally, LCM of Fractions for 429/964, 1531/3022 is 656799/2.