Least Common Multiple of 955/993, 402/891, 708/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 955/993, 402/891, 708/969 quickly i.e. 15100460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 955/993, 402/891, 708/969 is 15100460.

LCM(955/993, 402/891, 708/969) = 15100460

LCM of 955/993, 402/891, 708/969

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 955/993,402/891,708/969

Given numbers are 955/993,402/891,708/969

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 955,402,708

Least Common Multiple of Numerators i.e. LCM of 955,402,708 is 45301380.

GCF of Denominators means GCF of 993,891,969 as per the given fractions.

GCF of 993,891,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 955,402,708

LCM of Fractions 955/993,402/891,708/969 is 15100460

2 955, 402, 708
3 955, 201, 354
955, 67, 118

∴ So the LCM of the given numbers is 2 x 3 x 955 x 67 x 118 = 45301380

Least Common Multiple of 955,402,708 with GCF Formula

Least Common Multiple of 955,402,708 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 955,402,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,402,708) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(955,402,708) x common factors =1 x 6 = 6

LCM(955,402,708) = ( 955 × 402 × 708 ) / 6

LCM(955,402,708) = 271808280 / 6

LCM(955,402,708) = 45301380


Lets's calculate GCF of 993,891,969

3 993, 891, 969
331, 297, 323

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45301380/3

Therefore the LCM of Fractions 955/993,402/891,708/969 is 15100460

Greatest Common Factor of 993,891,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,891,969 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 993,891,969 . The biggest common factor number is the GCF number.
So the greatest common factor 993,891,969 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 955/993, 402/891, 708/969

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 955/993, 402/891, 708/969?

Answer: LCM of Numerators as per given numbers 955/993, 402/891, 708/969 is

LCM of Numerators i.e. for 955,402,708 is 45301380

GCF of denominators i.e. for 993,891,969 is 3.

Thus, LCM of Fractions is 15100460.Finally, LCM of Fractions for 955/993, 402/891, 708/969 is 15100460.