Least Common Multiple of 326/91, 980/1750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 326/91, 980/1750 quickly i.e. 22820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/91, 980/1750 is 22820.

LCM(326/91, 980/1750) = 22820

LCM of 326/91, 980/1750

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 326/91,980/1750

Given numbers are 326/91,980/1750

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 326,980

Least Common Multiple of Numerators i.e. LCM of 326,980 is 159740.

GCF of Denominators means GCF of 91,1750 as per the given fractions.

GCF of 91,1750 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,980

LCM of Fractions 326/91,980/1750 is 22820

2 326, 980
163, 490

∴ So the LCM of the given numbers is 2 x 163 x 490 = 159740

Least Common Multiple of 326,980 with GCF Formula

Least Common Multiple of 326,980 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 326,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,980) = 2

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

GCF(326,980) x common factors =2 x 1 = 2

LCM(326,980) = ( 326 × 980 ) / 2

LCM(326,980) = 319480 / 2

LCM(326,980) = 159740


Lets's calculate GCF of 91,1750

7 91, 1750
13, 250

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159740/7

Therefore the LCM of Fractions 326/91,980/1750 is 22820

Greatest Common Factor of 91,1750 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,1750 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 1750

List of positive integer factors of 1750 that divides 1750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750

Greatest Common Factor

We found the factors 91,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 91,1750 is 7.


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 326/91, 980/1750

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 326/91, 980/1750?

Answer: LCM of Numerators as per given numbers 326/91, 980/1750 is

LCM of Numerators i.e. for 326,980 is 159740

GCF of denominators i.e. for 91,1750 is 7.

Thus, LCM of Fractions is 22820.Finally, LCM of Fractions for 326/91, 980/1750 is 22820.