Least Common Multiple of 916/63, 926/10, 977/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/63, 926/10, 977/989 quickly i.e. 414353516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/63, 926/10, 977/989 is 414353516.

LCM(916/63, 926/10, 977/989) = 414353516

LCM of 916/63, 926/10, 977/989

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 916/63,926/10,977/989

Given numbers are 916/63,926/10,977/989

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 916,926,977

Least Common Multiple of Numerators i.e. LCM of 916,926,977 is 414353516.

GCF of Denominators means GCF of 63,10,989 as per the given fractions.

GCF of 63,10,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,926,977

LCM of Fractions 916/63,926/10,977/989 is 414353516

2 916, 926, 977
458, 463, 977

∴ So the LCM of the given numbers is 2 x 458 x 463 x 977 = 414353516

Least Common Multiple of 916,926,977 with GCF Formula

Least Common Multiple of 916,926,977 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 916,926,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,926,977) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(916,926,977) x common factors =1 x 2 = 2

LCM(916,926,977) = ( 916 × 926 × 977 ) / 2

LCM(916,926,977) = 828707032 / 2

LCM(916,926,977) = 414353516


Lets's calculate GCF of 63,10,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414353516/1

Therefore the LCM of Fractions 916/63,926/10,977/989 is 414353516

Greatest Common Factor of 63,10,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,10,989 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 63,10,989 . The biggest common factor number is the GCF number.
So the greatest common factor 63,10,989 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 916/63, 926/10, 977/989

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 916/63, 926/10, 977/989?

Answer: LCM of Numerators as per given numbers 916/63, 926/10, 977/989 is

LCM of Numerators i.e. for 916,926,977 is 414353516

GCF of denominators i.e. for 63,10,989 is 1.

Thus, LCM of Fractions is 414353516.Finally, LCM of Fractions for 916/63, 926/10, 977/989 is 414353516.