Least Common Multiple of 955/692, 513/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 955/692, 513/974 quickly i.e. 489915/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 955/692, 513/974 is 489915/2.

LCM(955/692, 513/974) = 489915/2

LCM of 955/692, 513/974

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 955/692,513/974

Given numbers are 955/692,513/974

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 955,513

Least Common Multiple of Numerators i.e. LCM of 955,513 is 489915.

GCF of Denominators means GCF of 692,974 as per the given fractions.

GCF of 692,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 955,513

LCM of Fractions 955/692,513/974 is 489915/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 489915

Least Common Multiple of 955,513 with GCF Formula

Least Common Multiple of 955,513 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 955,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,513) = 1

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

GCF(955,513) x common factors =1 x 1 = 1

LCM(955,513) = ( 955 × 513 ) / 1

LCM(955,513) = 489915 / 1

LCM(955,513) = 489915


Lets's calculate GCF of 692,974

2 692, 974
346, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489915/2

Therefore the LCM of Fractions 955/692,513/974 is 489915/2

Greatest Common Factor of 692,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,974 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 692,974 . The biggest common factor number is the GCF number.
So the greatest common factor 692,974 is 2.


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Frequently Asked Questions on Fractional LCM of 955/692, 513/974

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 955/692, 513/974?

Answer: LCM of Numerators as per given numbers 955/692, 513/974 is

LCM of Numerators i.e. for 955,513 is 489915

GCF of denominators i.e. for 692,974 is 2.

Thus, LCM of Fractions is 489915/2.Finally, LCM of Fractions for 955/692, 513/974 is 489915/2.