Least Common Multiple of 750/34, 308/54, 357/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/34, 308/54, 357/490 quickly i.e. 981750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/34, 308/54, 357/490 is 981750.

LCM(750/34, 308/54, 357/490) = 981750

LCM of 750/34, 308/54, 357/490

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 750/34,308/54,357/490

Given numbers are 750/34,308/54,357/490

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 750,308,357

Least Common Multiple of Numerators i.e. LCM of 750,308,357 is 1963500.

GCF of Denominators means GCF of 34,54,490 as per the given fractions.

GCF of 34,54,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,308,357

LCM of Fractions 750/34,308/54,357/490 is 981750

2 750, 308, 357
3 375, 154, 357
7 125, 154, 119
125, 22, 17

∴ So the LCM of the given numbers is 2 x 3 x 7 x 125 x 22 x 17 = 1963500

Least Common Multiple of 750,308,357 with GCF Formula

Least Common Multiple of 750,308,357 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 750,308,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,308,357) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(750,308,357) x common factors =1 x 42 = 42

LCM(750,308,357) = ( 750 × 308 × 357 ) / 42

LCM(750,308,357) = 82467000 / 42

LCM(750,308,357) = 1963500


Lets's calculate GCF of 34,54,490

2 34, 54, 490
17, 27, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1963500/2

Therefore the LCM of Fractions 750/34,308/54,357/490 is 981750

Greatest Common Factor of 34,54,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,54,490 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 34,54,490 . The biggest common factor number is the GCF number.
So the greatest common factor 34,54,490 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 750/34, 308/54, 357/490

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 750/34, 308/54, 357/490?

Answer: LCM of Numerators as per given numbers 750/34, 308/54, 357/490 is

LCM of Numerators i.e. for 750,308,357 is 1963500

GCF of denominators i.e. for 34,54,490 is 2.

Thus, LCM of Fractions is 981750.Finally, LCM of Fractions for 750/34, 308/54, 357/490 is 981750.