Least Common Multiple of 977/68, 560/96, 914/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/68, 560/96, 914/874 quickly i.e. 125016920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/68, 560/96, 914/874 is 125016920.

LCM(977/68, 560/96, 914/874) = 125016920

LCM of 977/68, 560/96, 914/874

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 977/68,560/96,914/874

Given numbers are 977/68,560/96,914/874

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 977,560,914

Least Common Multiple of Numerators i.e. LCM of 977,560,914 is 250033840.

GCF of Denominators means GCF of 68,96,874 as per the given fractions.

GCF of 68,96,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,560,914

LCM of Fractions 977/68,560/96,914/874 is 125016920

2 977, 560, 914
977, 280, 457

∴ So the LCM of the given numbers is 2 x 977 x 280 x 457 = 250033840

Least Common Multiple of 977,560,914 with GCF Formula

Least Common Multiple of 977,560,914 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 977,560,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,560,914) = 1

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

GCF(977,560,914) x common factors =1 x 2 = 2

LCM(977,560,914) = ( 977 × 560 × 914 ) / 2

LCM(977,560,914) = 500067680 / 2

LCM(977,560,914) = 250033840


Lets's calculate GCF of 68,96,874

2 68, 96, 874
34, 48, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250033840/2

Therefore the LCM of Fractions 977/68,560/96,914/874 is 125016920

Greatest Common Factor of 68,96,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,96,874 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 68,96,874 . The biggest common factor number is the GCF number.
So the greatest common factor 68,96,874 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 977/68, 560/96, 914/874

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 977/68, 560/96, 914/874?

Answer: LCM of Numerators as per given numbers 977/68, 560/96, 914/874 is

LCM of Numerators i.e. for 977,560,914 is 250033840

GCF of denominators i.e. for 68,96,874 is 2.

Thus, LCM of Fractions is 125016920.Finally, LCM of Fractions for 977/68, 560/96, 914/874 is 125016920.