Least Common Multiple of 145/398, 791/979, 922/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/398, 791/979, 922/528 quickly i.e. 105748790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/398, 791/979, 922/528 is 105748790.

LCM(145/398, 791/979, 922/528) = 105748790

LCM of 145/398, 791/979, 922/528

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 145/398,791/979,922/528

Given numbers are 145/398,791/979,922/528

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 145,791,922

Least Common Multiple of Numerators i.e. LCM of 145,791,922 is 105748790.

GCF of Denominators means GCF of 398,979,528 as per the given fractions.

GCF of 398,979,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,791,922

LCM of Fractions 145/398,791/979,922/528 is 105748790

Given numbers has no common factors except 1. So, there LCM is their product i.e 105748790

Least Common Multiple of 145,791,922 with GCF Formula

Least Common Multiple of 145,791,922 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 145,791,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,791,922) = 1

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

GCF(145,791,922) x common factors =1 x 1 = 1

LCM(145,791,922) = ( 145 × 791 × 922 ) / 1

LCM(145,791,922) = 105748790 / 1

LCM(145,791,922) = 105748790


Lets's calculate GCF of 398,979,528

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105748790/1

Therefore the LCM of Fractions 145/398,791/979,922/528 is 105748790

Greatest Common Factor of 398,979,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,979,528 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 398,979,528 . The biggest common factor number is the GCF number.
So the greatest common factor 398,979,528 is 1.


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 145/398, 791/979, 922/528

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 145/398, 791/979, 922/528?

Answer: LCM of Numerators as per given numbers 145/398, 791/979, 922/528 is

LCM of Numerators i.e. for 145,791,922 is 105748790

GCF of denominators i.e. for 398,979,528 is 1.

Thus, LCM of Fractions is 105748790.Finally, LCM of Fractions for 145/398, 791/979, 922/528 is 105748790.