Least Common Multiple of 757/54, 980/28, 933/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 757/54, 980/28, 933/958 quickly i.e. 346077690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 757/54, 980/28, 933/958 is 346077690.

LCM(757/54, 980/28, 933/958) = 346077690

LCM of 757/54, 980/28, 933/958

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 757/54,980/28,933/958

Given numbers are 757/54,980/28,933/958

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 757,980,933

Least Common Multiple of Numerators i.e. LCM of 757,980,933 is 692155380.

GCF of Denominators means GCF of 54,28,958 as per the given fractions.

GCF of 54,28,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 757,980,933

LCM of Fractions 757/54,980/28,933/958 is 346077690

Given numbers has no common factors except 1. So, there LCM is their product i.e 692155380

Least Common Multiple of 757,980,933 with GCF Formula

Least Common Multiple of 757,980,933 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 757,980,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,980,933) = 1

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

GCF(757,980,933) x common factors =1 x 1 = 1

LCM(757,980,933) = ( 757 × 980 × 933 ) / 1

LCM(757,980,933) = 692155380 / 1

LCM(757,980,933) = 692155380


Lets's calculate GCF of 54,28,958

2 54, 28, 958
27, 14, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692155380/2

Therefore the LCM of Fractions 757/54,980/28,933/958 is 346077690

Greatest Common Factor of 54,28,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,28,958 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 54,28,958 . The biggest common factor number is the GCF number.
So the greatest common factor 54,28,958 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 757/54, 980/28, 933/958

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 757/54, 980/28, 933/958?

Answer: LCM of Numerators as per given numbers 757/54, 980/28, 933/958 is

LCM of Numerators i.e. for 757,980,933 is 692155380

GCF of denominators i.e. for 54,28,958 is 2.

Thus, LCM of Fractions is 346077690.Finally, LCM of Fractions for 757/54, 980/28, 933/958 is 346077690.