Least Common Multiple of 751/705, 9098/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 751/705, 9098/750 quickly i.e. 6832598/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 751/705, 9098/750 is 6832598/15.

LCM(751/705, 9098/750) = 6832598/15

LCM of 751/705, 9098/750

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 751/705,9098/750

Given numbers are 751/705,9098/750

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 751,9098

Least Common Multiple of Numerators i.e. LCM of 751,9098 is 6832598.

GCF of Denominators means GCF of 705,750 as per the given fractions.

GCF of 705,750 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 751,9098

LCM of Fractions 751/705,9098/750 is 6832598/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 6832598

Least Common Multiple of 751,9098 with GCF Formula

Least Common Multiple of 751,9098 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 751,9098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,9098) = 1

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

GCF(751,9098) x common factors =1 x 1 = 1

LCM(751,9098) = ( 751 × 9098 ) / 1

LCM(751,9098) = 6832598 / 1

LCM(751,9098) = 6832598


Lets's calculate GCF of 705,750

3 705, 750
5 235, 250
47, 50

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6832598/15

Therefore the LCM of Fractions 751/705,9098/750 is 6832598/15

Greatest Common Factor of 705,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,750 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 705,750 . The biggest common factor number is the GCF number.
So the greatest common factor 705,750 is 15.


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 751/705, 9098/750

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 751/705, 9098/750?

Answer: LCM of Numerators as per given numbers 751/705, 9098/750 is

LCM of Numerators i.e. for 751,9098 is 6832598

GCF of denominators i.e. for 705,750 is 15.

Thus, LCM of Fractions is 6832598/15.Finally, LCM of Fractions for 751/705, 9098/750 is 6832598/15.