Least Common Multiple of 43/630, 348/602, 718/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/630, 348/602, 718/546 quickly i.e. 5372076/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/630, 348/602, 718/546 is 5372076/14.

LCM(43/630, 348/602, 718/546) = 5372076/14

LCM of 43/630, 348/602, 718/546

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 43/630,348/602,718/546

Given numbers are 43/630,348/602,718/546

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 43,348,718

Least Common Multiple of Numerators i.e. LCM of 43,348,718 is 5372076.

GCF of Denominators means GCF of 630,602,546 as per the given fractions.

GCF of 630,602,546 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,348,718

LCM of Fractions 43/630,348/602,718/546 is 5372076/14

2 43, 348, 718
43, 174, 359

∴ So the LCM of the given numbers is 2 x 43 x 174 x 359 = 5372076

Least Common Multiple of 43,348,718 with GCF Formula

Least Common Multiple of 43,348,718 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 43,348,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,348,718) = 1

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

GCF(43,348,718) x common factors =1 x 2 = 2

LCM(43,348,718) = ( 43 × 348 × 718 ) / 2

LCM(43,348,718) = 10744152 / 2

LCM(43,348,718) = 5372076


Lets's calculate GCF of 630,602,546

2 630, 602, 546
7 315, 301, 273
45, 43, 39

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5372076/14

Therefore the LCM of Fractions 43/630,348/602,718/546 is 5372076/14

Greatest Common Factor of 630,602,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,602,546 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 630,602,546 . The biggest common factor number is the GCF number.
So the greatest common factor 630,602,546 is 14.


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 43/630, 348/602, 718/546

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 43/630, 348/602, 718/546?

Answer: LCM of Numerators as per given numbers 43/630, 348/602, 718/546 is

LCM of Numerators i.e. for 43,348,718 is 5372076

GCF of denominators i.e. for 630,602,546 is 14.

Thus, LCM of Fractions is 5372076/14.Finally, LCM of Fractions for 43/630, 348/602, 718/546 is 5372076/14.