Least Common Multiple of 295/142, 444/974, 899/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/142, 444/974, 899/940 quickly i.e. 58875510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/142, 444/974, 899/940 is 58875510.

LCM(295/142, 444/974, 899/940) = 58875510

LCM of 295/142, 444/974, 899/940

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 295/142,444/974,899/940

Given numbers are 295/142,444/974,899/940

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 295,444,899

Least Common Multiple of Numerators i.e. LCM of 295,444,899 is 117751020.

GCF of Denominators means GCF of 142,974,940 as per the given fractions.

GCF of 142,974,940 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,444,899

LCM of Fractions 295/142,444/974,899/940 is 58875510

Given numbers has no common factors except 1. So, there LCM is their product i.e 117751020

Least Common Multiple of 295,444,899 with GCF Formula

Least Common Multiple of 295,444,899 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 295,444,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,444,899) = 1

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

GCF(295,444,899) x common factors =1 x 1 = 1

LCM(295,444,899) = ( 295 × 444 × 899 ) / 1

LCM(295,444,899) = 117751020 / 1

LCM(295,444,899) = 117751020


Lets's calculate GCF of 142,974,940

2 142, 974, 940
71, 487, 470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117751020/2

Therefore the LCM of Fractions 295/142,444/974,899/940 is 58875510

Greatest Common Factor of 142,974,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,974,940 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 974

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

1,2,487,974

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 142,974,940 . The biggest common factor number is the GCF number.
So the greatest common factor 142,974,940 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 295/142, 444/974, 899/940

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 295/142, 444/974, 899/940?

Answer: LCM of Numerators as per given numbers 295/142, 444/974, 899/940 is

LCM of Numerators i.e. for 295,444,899 is 117751020

GCF of denominators i.e. for 142,974,940 is 2.

Thus, LCM of Fractions is 58875510.Finally, LCM of Fractions for 295/142, 444/974, 899/940 is 58875510.