Least Common Multiple of 874/889, 631/679, 683/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 874/889, 631/679, 683/635 quickly i.e. 376670402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/889, 631/679, 683/635 is 376670402.

LCM(874/889, 631/679, 683/635) = 376670402

LCM of 874/889, 631/679, 683/635

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 874/889,631/679,683/635

Given numbers are 874/889,631/679,683/635

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 874,631,683

Least Common Multiple of Numerators i.e. LCM of 874,631,683 is 376670402.

GCF of Denominators means GCF of 889,679,635 as per the given fractions.

GCF of 889,679,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,631,683

LCM of Fractions 874/889,631/679,683/635 is 376670402

Given numbers has no common factors except 1. So, there LCM is their product i.e 376670402

Least Common Multiple of 874,631,683 with GCF Formula

Least Common Multiple of 874,631,683 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 874,631,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,631,683) = 1

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

GCF(874,631,683) x common factors =1 x 1 = 1

LCM(874,631,683) = ( 874 × 631 × 683 ) / 1

LCM(874,631,683) = 376670402 / 1

LCM(874,631,683) = 376670402


Lets's calculate GCF of 889,679,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376670402/1

Therefore the LCM of Fractions 874/889,631/679,683/635 is 376670402

Greatest Common Factor of 889,679,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,679,635 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 889,679,635 . The biggest common factor number is the GCF number.
So the greatest common factor 889,679,635 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 874/889, 631/679, 683/635

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 874/889, 631/679, 683/635?

Answer: LCM of Numerators as per given numbers 874/889, 631/679, 683/635 is

LCM of Numerators i.e. for 874,631,683 is 376670402

GCF of denominators i.e. for 889,679,635 is 1.

Thus, LCM of Fractions is 376670402.Finally, LCM of Fractions for 874/889, 631/679, 683/635 is 376670402.