Least Common Multiple of 21/77, 989/35, 995/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/77, 989/35, 995/698 quickly i.e. 20665155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/77, 989/35, 995/698 is 20665155.

LCM(21/77, 989/35, 995/698) = 20665155

LCM of 21/77, 989/35, 995/698

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 21/77,989/35,995/698

Given numbers are 21/77,989/35,995/698

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 21,989,995

Least Common Multiple of Numerators i.e. LCM of 21,989,995 is 20665155.

GCF of Denominators means GCF of 77,35,698 as per the given fractions.

GCF of 77,35,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,989,995

LCM of Fractions 21/77,989/35,995/698 is 20665155

Given numbers has no common factors except 1. So, there LCM is their product i.e 20665155

Least Common Multiple of 21,989,995 with GCF Formula

Least Common Multiple of 21,989,995 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 21,989,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,989,995) = 1

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

GCF(21,989,995) x common factors =1 x 1 = 1

LCM(21,989,995) = ( 21 × 989 × 995 ) / 1

LCM(21,989,995) = 20665155 / 1

LCM(21,989,995) = 20665155


Lets's calculate GCF of 77,35,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20665155/1

Therefore the LCM of Fractions 21/77,989/35,995/698 is 20665155

Greatest Common Factor of 77,35,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,35,698 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 77,35,698 . The biggest common factor number is the GCF number.
So the greatest common factor 77,35,698 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 21/77, 989/35, 995/698

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 21/77, 989/35, 995/698?

Answer: LCM of Numerators as per given numbers 21/77, 989/35, 995/698 is

LCM of Numerators i.e. for 21,989,995 is 20665155

GCF of denominators i.e. for 77,35,698 is 1.

Thus, LCM of Fractions is 20665155.Finally, LCM of Fractions for 21/77, 989/35, 995/698 is 20665155.