Least Common Multiple of 308/373, 879/749, 785/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/373, 879/749, 785/946 quickly i.e. 212524620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/373, 879/749, 785/946 is 212524620.

LCM(308/373, 879/749, 785/946) = 212524620

LCM of 308/373, 879/749, 785/946

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 308/373,879/749,785/946

Given numbers are 308/373,879/749,785/946

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 308,879,785

Least Common Multiple of Numerators i.e. LCM of 308,879,785 is 212524620.

GCF of Denominators means GCF of 373,749,946 as per the given fractions.

GCF of 373,749,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,879,785

LCM of Fractions 308/373,879/749,785/946 is 212524620

Given numbers has no common factors except 1. So, there LCM is their product i.e 212524620

Least Common Multiple of 308,879,785 with GCF Formula

Least Common Multiple of 308,879,785 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 308,879,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,879,785) = 1

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

GCF(308,879,785) x common factors =1 x 1 = 1

LCM(308,879,785) = ( 308 × 879 × 785 ) / 1

LCM(308,879,785) = 212524620 / 1

LCM(308,879,785) = 212524620


Lets's calculate GCF of 373,749,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212524620/1

Therefore the LCM of Fractions 308/373,879/749,785/946 is 212524620

Greatest Common Factor of 373,749,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,749,946 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 373,749,946 . The biggest common factor number is the GCF number.
So the greatest common factor 373,749,946 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 308/373, 879/749, 785/946

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 308/373, 879/749, 785/946?

Answer: LCM of Numerators as per given numbers 308/373, 879/749, 785/946 is

LCM of Numerators i.e. for 308,879,785 is 212524620

GCF of denominators i.e. for 373,749,946 is 1.

Thus, LCM of Fractions is 212524620.Finally, LCM of Fractions for 308/373, 879/749, 785/946 is 212524620.