Least Common Multiple of 958/408, 1429/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 958/408, 1429/554 quickly i.e. 684491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 958/408, 1429/554 is 684491.

LCM(958/408, 1429/554) = 684491

LCM of 958/408, 1429/554

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 958/408,1429/554

Given numbers are 958/408,1429/554

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 958,1429

Least Common Multiple of Numerators i.e. LCM of 958,1429 is 1368982.

GCF of Denominators means GCF of 408,554 as per the given fractions.

GCF of 408,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 958,1429

LCM of Fractions 958/408,1429/554 is 684491

Given numbers has no common factors except 1. So, there LCM is their product i.e 1368982

Least Common Multiple of 958,1429 with GCF Formula

Least Common Multiple of 958,1429 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 958,1429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,1429) = 1

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

GCF(958,1429) x common factors =1 x 1 = 1

LCM(958,1429) = ( 958 × 1429 ) / 1

LCM(958,1429) = 1368982 / 1

LCM(958,1429) = 1368982


Lets's calculate GCF of 408,554

2 408, 554
204, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1368982/2

Therefore the LCM of Fractions 958/408,1429/554 is 684491

Greatest Common Factor of 408,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,554 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 408,554 . The biggest common factor number is the GCF number.
So the greatest common factor 408,554 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 958/408, 1429/554

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 958/408, 1429/554?

Answer: LCM of Numerators as per given numbers 958/408, 1429/554 is

LCM of Numerators i.e. for 958,1429 is 1368982

GCF of denominators i.e. for 408,554 is 2.

Thus, LCM of Fractions is 684491.Finally, LCM of Fractions for 958/408, 1429/554 is 684491.