Least Common Multiple of 90/969, 745/913, 950/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/969, 745/913, 950/699 quickly i.e. 1273950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/969, 745/913, 950/699 is 1273950.

LCM(90/969, 745/913, 950/699) = 1273950

LCM of 90/969, 745/913, 950/699

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 90/969,745/913,950/699

Given numbers are 90/969,745/913,950/699

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 90,745,950

Least Common Multiple of Numerators i.e. LCM of 90,745,950 is 1273950.

GCF of Denominators means GCF of 969,913,699 as per the given fractions.

GCF of 969,913,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,745,950

LCM of Fractions 90/969,745/913,950/699 is 1273950

2 90, 745, 950
5 45, 745, 475
9, 149, 95

∴ So the LCM of the given numbers is 2 x 5 x 9 x 149 x 95 = 1273950

Least Common Multiple of 90,745,950 with GCF Formula

Least Common Multiple of 90,745,950 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 90,745,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,745,950) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(90,745,950) x common factors =5 x 10 = 50

LCM(90,745,950) = ( 90 × 745 × 950 ) / 50

LCM(90,745,950) = 63697500 / 50

LCM(90,745,950) = 1273950


Lets's calculate GCF of 969,913,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1273950/1

Therefore the LCM of Fractions 90/969,745/913,950/699 is 1273950

Greatest Common Factor of 969,913,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,913,699 By Matching Biggest Common Factor Method

Factors of 969

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

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

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 969,913,699 . The biggest common factor number is the GCF number.
So the greatest common factor 969,913,699 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/969, 745/913, 950/699

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 90/969, 745/913, 950/699?

Answer: LCM of Numerators as per given numbers 90/969, 745/913, 950/699 is

LCM of Numerators i.e. for 90,745,950 is 1273950

GCF of denominators i.e. for 969,913,699 is 1.

Thus, LCM of Fractions is 1273950.Finally, LCM of Fractions for 90/969, 745/913, 950/699 is 1273950.