Least Common Multiple of 465/754, 994/461, 875/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/754, 994/461, 875/376 quickly i.e. 11555250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/754, 994/461, 875/376 is 11555250.

LCM(465/754, 994/461, 875/376) = 11555250

LCM of 465/754, 994/461, 875/376

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 465/754,994/461,875/376

Given numbers are 465/754,994/461,875/376

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 465,994,875

Least Common Multiple of Numerators i.e. LCM of 465,994,875 is 11555250.

GCF of Denominators means GCF of 754,461,376 as per the given fractions.

GCF of 754,461,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,994,875

LCM of Fractions 465/754,994/461,875/376 is 11555250

5 465, 994, 875
7 93, 994, 175
93, 142, 25

∴ So the LCM of the given numbers is 5 x 7 x 93 x 142 x 25 = 11555250

Least Common Multiple of 465,994,875 with GCF Formula

Least Common Multiple of 465,994,875 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 465,994,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,994,875) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(465,994,875) x common factors =1 x 35 = 35

LCM(465,994,875) = ( 465 × 994 × 875 ) / 35

LCM(465,994,875) = 404433750 / 35

LCM(465,994,875) = 11555250


Lets's calculate GCF of 754,461,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11555250/1

Therefore the LCM of Fractions 465/754,994/461,875/376 is 11555250

Greatest Common Factor of 754,461,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,461,376 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 754,461,376 . The biggest common factor number is the GCF number.
So the greatest common factor 754,461,376 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 465/754, 994/461, 875/376

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 465/754, 994/461, 875/376?

Answer: LCM of Numerators as per given numbers 465/754, 994/461, 875/376 is

LCM of Numerators i.e. for 465,994,875 is 11555250

GCF of denominators i.e. for 754,461,376 is 1.

Thus, LCM of Fractions is 11555250.Finally, LCM of Fractions for 465/754, 994/461, 875/376 is 11555250.