Least Common Multiple of 61/946, 239/940, 859/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/946, 239/940, 859/980 quickly i.e. 12523361/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/946, 239/940, 859/980 is 12523361/2.

LCM(61/946, 239/940, 859/980) = 12523361/2

LCM of 61/946, 239/940, 859/980

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 61/946,239/940,859/980

Given numbers are 61/946,239/940,859/980

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 61,239,859

Least Common Multiple of Numerators i.e. LCM of 61,239,859 is 12523361.

GCF of Denominators means GCF of 946,940,980 as per the given fractions.

GCF of 946,940,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,239,859

LCM of Fractions 61/946,239/940,859/980 is 12523361/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 12523361

Least Common Multiple of 61,239,859 with GCF Formula

Least Common Multiple of 61,239,859 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 61,239,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,239,859) = 1

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

GCF(61,239,859) x common factors =1 x 1 = 1

LCM(61,239,859) = ( 61 × 239 × 859 ) / 1

LCM(61,239,859) = 12523361 / 1

LCM(61,239,859) = 12523361


Lets's calculate GCF of 946,940,980

2 946, 940, 980
473, 470, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12523361/2

Therefore the LCM of Fractions 61/946,239/940,859/980 is 12523361/2

Greatest Common Factor of 946,940,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,940,980 By Matching Biggest Common Factor Method

Factors of 946

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

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

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 946,940,980 . The biggest common factor number is the GCF number.
So the greatest common factor 946,940,980 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 61/946, 239/940, 859/980

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 61/946, 239/940, 859/980?

Answer: LCM of Numerators as per given numbers 61/946, 239/940, 859/980 is

LCM of Numerators i.e. for 61,239,859 is 12523361

GCF of denominators i.e. for 946,940,980 is 2.

Thus, LCM of Fractions is 12523361/2.Finally, LCM of Fractions for 61/946, 239/940, 859/980 is 12523361/2.