Least Common Multiple of 990/147, 764/946, 175/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 990/147, 764/946, 175/744 quickly i.e. 13236300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/147, 764/946, 175/744 is 13236300.

LCM(990/147, 764/946, 175/744) = 13236300

LCM of 990/147, 764/946, 175/744

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 990/147,764/946,175/744

Given numbers are 990/147,764/946,175/744

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 990,764,175

Least Common Multiple of Numerators i.e. LCM of 990,764,175 is 13236300.

GCF of Denominators means GCF of 147,946,744 as per the given fractions.

GCF of 147,946,744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,764,175

LCM of Fractions 990/147,764/946,175/744 is 13236300

2 990, 764, 175
5 495, 382, 175
99, 382, 35

∴ So the LCM of the given numbers is 2 x 5 x 99 x 382 x 35 = 13236300

Least Common Multiple of 990,764,175 with GCF Formula

Least Common Multiple of 990,764,175 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 990,764,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,764,175) = 1

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

GCF(990,764,175) x common factors =1 x 10 = 10

LCM(990,764,175) = ( 990 × 764 × 175 ) / 10

LCM(990,764,175) = 132363000 / 10

LCM(990,764,175) = 13236300


Lets's calculate GCF of 147,946,744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13236300/1

Therefore the LCM of Fractions 990/147,764/946,175/744 is 13236300

Greatest Common Factor of 147,946,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,946,744 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 147,946,744 . The biggest common factor number is the GCF number.
So the greatest common factor 147,946,744 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 990/147, 764/946, 175/744

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 990/147, 764/946, 175/744?

Answer: LCM of Numerators as per given numbers 990/147, 764/946, 175/744 is

LCM of Numerators i.e. for 990,764,175 is 13236300

GCF of denominators i.e. for 147,946,744 is 1.

Thus, LCM of Fractions is 13236300.Finally, LCM of Fractions for 990/147, 764/946, 175/744 is 13236300.